Q: What is the prime factorization and GCF of 12 and 20?

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The prime factorization of 12 is: 2 X 2 X 3 The prime factorization of 18 is: 2 X 3 X 3 The prime factorization of 20 is: 2 X 2 X 5

The prime factorization of 20 is: 2 × 2 × 5

The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.

Prime Factorization:20 = 2 * 2 * 530 = 2 * 3 * 5

2 x 2 x 2 x 2 = 16 2 x 2 x 5 = 20 2 x 2 = 4, the GCF

Related questions

The GCF of 6 and 20 is 2.The prime factorization of 6 is 2*3.The prime factorization of 20 is 2*2*5.So the GCF is 2.

The GCF of 6, 16, and 20 is 2.The prime factorization of 6 is 2*3.The prime factorization of 16 is 2*2*2*2The prime factorization of 20 is 2*2*5So the GCF of 6, 16, and 20 is 2.

The prime factorization of 12 is: 2 X 2 X 3 The prime factorization of 18 is: 2 X 3 X 3 The prime factorization of 20 is: 2 X 2 X 5

The GCF of 20 and 66 is 2. The prime factorization of 20 is 2*2*2 The prime factorization of 66 is 2*3*11 Their only common factor is 2, so it is their GCF.

Their gcf is just 1

2 x 2 x 5 = 20 2 x 3 x 7 = 42 The GCF is 2.

The prime factorization of 20 is: 2 × 2 × 5

Greatest common factor of 20 & 51 is 1. Factors of 20 are 1, 2, 4, 5, 10 & 20. Factors of 51 are 1, 3, 17 & 51. The only common factor is 1, so GCF is 1. Alternate method: Prime factorization of 20 = 2x2x5 Prime factorization of 51 = 3x17 From the prime factorizations it is clear that 1 is the GCF of 20 and 51.

The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.

The GCF is 20. Prime Factorization of: 40 = 2 * 2 * 2 * 5 60 = 2 * 2 ..... * 5 * 3 ================ GCF=2 * 2 .....* 5 GCF=20

Prime factorization of 20 in exponential form is: 22x5

The GCF of 12 and 20 is 4.The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 20 are 1, 2, 4, 5, 10, and 20.The factors they have in common are 1, 2, and 4. Therefore, 4 is the greatest common factor.The greatest common factor can also be determined from the prime factors by multiplying the common prime factors together.The prime factors of 12 are 2, 2, and 3.The prime factors of 20 are 2, 2, and 5.The common prime factors are 2 and 2, so the greatest common factor is 2 x 2 = 4.The greatest common factor of 12 and 20 is 4