Problem: The area of a rectangle-shaped garden is 24 square yards. Perform all possible whole-number dimensions the garden can have.

You are watching: Common factors of 24 and 36    Solution: 1 yd x 24 yd, 2 yd x 12 yd, 3 yd x 8 yd, and 4 yd x 6 yd

The whole-number size of this rectangular garden are the factors of the number 24. The following statements have the right to be made around the determinants of 24:

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12 and 24 since each of this numbers divides exactly into 24.The pairs of factors of 24 are: 1 and also 24, 2 and also 12, 3 and 8, and 4 and 6.

To uncover the determinants of a whole number follow this procedure:

Keep dividing until a element repeats.List all determinants separated by commas.

Example 1: uncover the factors of 12.

Counting # DivisionFactor Pair
112 ÷ 1 = 121 x 12
212 ÷ 2 = 62 x 6
312 ÷ 3 = 43 x 4
412 ÷ 4 = 34 x 3

Solution: The determinants of 12 are 1, 2, 3, 4, 6 and also 12.

(Note: means the one or much more factors has repeated for this reason we protect against dividing.)

Example 2: find the factors of 20.

Counting #DivisionFactor Pair
120 ÷ 1 = 201 x 20
220 ÷ 2 = 102 x 10
320 ÷ 3 = 6 R2--------
420 ÷ 4 = 54 x 5
520 ÷ 5 = 45 x 4

Solution: The components of 20 room 1, 2, 4, 5, 10 and 20.

Example 3: find the factors of 49.

Counting #DivisionFactor Pair
149 ÷ 1 = 491 x 49
249 ÷ 2 = 24 R1--------
349 ÷ 3 = 16 R1--------
449 ÷ 4 = 12 R1--------
549 ÷ 5 = 9 R4--------
649 ÷ 6 = 8 R1--------
749 ÷ 7 = 77 x 7

Solution: The determinants of 49 are 1, 7 and 49

Problem: discover the Greatest usual Factor (GCF) the 12 and 20. (Note: place your mouse over the list of determinants below.) The usual factors that 12 and also 20 are 1, 2 and also 4.

The greatest common element of 12 and 20 is 4.

Solution: GCF = 4

To uncover the Greatest usual Factor (GCF) of two or an ext whole numbers, monitor this procedure:

Make a list of factors for each totality number.Identify all determinants that are typical to every lists.The Greatest usual Factor (GCF) is the largest of these typical factors.In instances 4 with 6, location your computer mouse over the lists of factors to see the typical factors.

Example 4: uncover the GCF of 24 and 36. The common factors that 24 and 36 space 1, 2, 3, 4, 6 and also 12.

The greatest common factor of 24 and also 36 is 12.

Solution: GCF = 12

Example 5: find the GCF that 56 and also 63. The usual factors that 56 and 63 are 1 and also 7.

The greatest common variable of 56 and also 63 is 7.

Solution: GCF = 7

Example 6: uncover the GCF that 12, 30 and also 54. The usual factors of 12, 30 and 54 are 1, 2, 3 and 6.

The greatest common element of 12, 30 and 54 is 6.

Solution: GCF = 6

Summary: The components of a entirety number are those numbers that divide precisely into that whole number. The Greatest common Factor (GCF) the a set of whole numbers is the biggest factor typical to all totality numbers in the set.

### Exercises

Directions: read each question below. Click when in solution BOX and type in her answer; then click ENTER. After girlfriend click ENTER, a blog post will show up in the outcomes BOX to indicate whether your answer is exactly or incorrect. To begin over, click CLEAR.

 1 Find the GCF the 18 and 36.ANSWER BOX: GCF =   RESULTS BOX:
 2 Find the GCF of 30 and 48.ANSWER BOX: GCF =   RESULTS BOX:
 3 Find the GCF of 42 and also 56.ANSWER BOX: GCF =   RESULTS BOX:
 4 Find the GCF of 16, 48 and 72.See more: Regulatory And Informational Markers Are Identified Through Which FeaturesANSWER BOX: GCF =   RESULTS BOX:
 5 One rectangular garden has actually an area the 18 square meters. Another rectangular garden has actually an area the 81 square meters. What is the largest feasible whole-number dimension typical to both gardens?ANSWER BOX: GCF =  m  RESULTS BOX:  .tags a { color: #fff; background: #909295; padding: 3px 10px; border-radius: 10px; font-size: 13px; line-height: 30px; white-space: nowrap; } .tags a:hover { background: #818182; } Home Contact - Advertising Copyright © 2022 sdrta.net #footer {font-size: 14px;background: #ffffff;padding: 10px;text-align: center;} #footer a {color: #2c2b2b;margin-right: 10px;}