GCF the 24 and 36 is the largest feasible number the divides 24 and 36 specifically without any type of remainder. The factors of 24 and also 36 space 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There room 3 frequently used techniques to find the GCF that 24 and 36 - lengthy division, element factorization, and Euclidean algorithm.

You are watching: Greatest common factor of 24 and 36

1.GCF that 24 and 36
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF the 24 and also 36 is 12.

*

Explanation:

The GCF of 2 non-zero integers, x(24) and also y(36), is the biggest positive essence m(12) that divides both x(24) and y(36) without any remainder.


Let's look at the different methods because that finding the GCF that 24 and 36.

Prime administer MethodListing typical FactorsLong division Method

GCF that 24 and 36 by element Factorization

*

Prime administer of 24 and also 36 is (2 × 2 × 2 × 3) and also (2 × 2 × 3 × 3) respectively. As visible, 24 and also 36 have typical prime factors. Hence, the GCF that 24 and also 36 is 2 × 2 × 3 = 12.

GCF that 24 and also 36 by Listing typical Factors

*
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There space 6 typical factors that 24 and also 36, that space 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 24 and 36 is 12.

GCF that 24 and also 36 by long Division

*

GCF of 24 and 36 is the divisor the we gain when the remainder becomes 0 after doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will divide the divisor of step 1 (24) through the remainder (12).Step 3: Repeat this procedure until the remainder = 0.

See more: Does Claire'S Pierce Belly Buttons, Does Claire'S Do Belly Button Piercings

The matching divisor (12) is the GCF of 24 and 36.