GCF the 24 and 36 is the largest feasible number the divides 24 and 36 specifically without any kind of remainder. The determinants of 24 and 36 are 1, 2, 3, 4, 6, 8, 12, 24 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There space 3 commonly used techniques to uncover the GCF that 24 and 36 - long division, prime factorization, and also Euclidean algorithm.

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

Answer: GCF that 24 and also 36 is 12.

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Explanation:

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


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

Prime administer MethodListing common FactorsLong division Method

GCF of 24 and also 36 by prime Factorization

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

GCF that 24 and also 36 through Listing common Factors

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

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

GCF the 24 and also 36 by long Division

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GCF of 24 and also 36 is the divisor the we gain when the remainder i do not care 0 after doing long department repeatedly.

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

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