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2 x 2 x 2 x 3 = 24

2 x 2 x 11 = 44

2 x 2 x 13 = 52

2 x 2 = 4, the GCF

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GCF(24, 44, 52) = 4.

Q: What is the gcf of 24 44 52 in a prime factorization way?

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Prime factorization of 288 = 2x2x2x2x2x3x3Prime factorization of 40 = 2x2x2x5Prime factorization of 24 = 2x2x2x32x2x2 = 8, the GCF

The GCF of 12, 24, and 39 is 3.The prime factorization of 12 is 2*2*3The prime factorization of 24 is 2*2*2*3The prime factorization of 39 is 3*13So the GCF of 12, 24, and 39 is 3.

The GCF of 24 and 162 is 6.The prime factorization of 24 is 2*2*2*3The prime factorization of 162 is 2*3*3*3*3The GCF thus is 2*3 = 6.

24

The prime factorization of 816 is: 24 x 3 x 17

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Prime factorization of 288 = 2x2x2x2x2x3x3Prime factorization of 40 = 2x2x2x5Prime factorization of 24 = 2x2x2x32x2x2 = 8, the GCF

Prime factorization of 24 = 2x2x2x3Prime factorization of 16 = 2x2x2x2GCF(24, 16) = 2x2x2 = 8

The GCF of 12, 24, and 39 is 3.The prime factorization of 12 is 2*2*3The prime factorization of 24 is 2*2*2*3The prime factorization of 39 is 3*13So the GCF of 12, 24, and 39 is 3.

Prime factorization of 435 = 3 x 5 x 29Prime factorization of 24 = 23 x 3gcf(435, 24) = 3

The GCF of 24 and 162 is 6.The prime factorization of 24 is 2*2*2*3The prime factorization of 162 is 2*3*3*3*3The GCF thus is 2*3 = 6.

22*3 = 12

The prime factorization of 124 is 2 * 2 * 31 = 22 * 31. The prime factorization of 24 is 2 * 2 * 2 * 3 = 23 * 3. The GCF contains all prime factors contained in both numbers. We find 22 is in both, so the GCF is 4.

Method:For any two numbers a & bLCM(a,b) = Product of a & b/GCF(a,b)We use the method of prime factorization to find GCF:-Prime factorization of 412 = 2x2x103Prime factorization of 24 = 2x2x2x3GCF(412, 24) = 2x2 = 4Product of 412 & 24 = 9888LCM(412, 24) = 9888/4 = 2472

Yes.

The prime factorization for 24 (with exponents) is: 23 x 3

2x2x2x3 = 24

prime factorization of 24 are 2*2*2*3

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