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What is the greatest common factor of 63 84 and 105?
The GCF of 63, 84, and 105 = 21 The prime factorization of 63 = 3^2 x 7 The prime factorization of 84 = 2^2 x 3 x 7 The prime factorization of 105 = 3 x 5 x 7 The GCF is the product of the lowest power of the primes common to all number factorizations, so the gcf = 3 x 7 = 21
What is the greatest common factor of 420 735 and 945?
The GCF of 420, 735, and 945 is 105.The prime factorization of 420 is 2x2x3x5x7The prime factorization of 735 is 3x5x7x7The prime factorization of 945 is 3x3x3x5x7(1) List the prime factors of each number.(2) Multiply those factors all numbers in the set have in common. If there are no common prime factors, the GCF is 1. (Those factors are the ones in bold type.)As you can see the GCF is 3x5x7 or 105
What is the gcf of 53 and 86 using prime factorization?
53 is already prime. 2 x 43 = 86 No common prime factors; the GCF is 1.
What is the greatest common factor of 525 and 630?
The prime factorization of 525 is 3*7*5*5The prime factorization of 630 is 2*3*3*5*7The factors they have in common are 3*5*7 = 105, so the greatest common factor is 105.
What is the GCF of 52 and 65 using prime factorization?
2 x 2 x 13 = 525 x 13 = 65The GCF is 13.
