What is the Greatest Common Factor of 56992 and 57008?

Greatest common factor (GCF) of 56992 and 57008 is 16.

GCF(56992,57008) = 16

We will now calculate the prime factors of 56992 and 57008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56992 and 57008.

How to find the GCF of 56992 and 57008?

We will first find the prime factorization of 56992 and 57008. After we will calculate the factors of 56992 and 57008 and find the biggest common factor number .

Step-1: Prime Factorization of 56992

Prime factors of 56992 are 2, 13, 137. Prime factorization of 56992 in exponential form is:

56992 = 2⁵ × 13¹ × 137¹

Step-2: Prime Factorization of 57008

Prime factors of 57008 are 2, 7, 509. Prime factorization of 57008 in exponential form is:

57008 = 2⁴ × 7¹ × 509¹

Step-3: Factors of 56992

List of positive integer factors of 56992 that divides 56992 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 137, 208, 274, 416, 548, 1096, 1781, 2192, 3562, 4384, 7124, 14248, 28496

Step-4: Factors of 57008

List of positive integer factors of 57008 that divides 56992 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 509, 1018, 2036, 3563, 4072, 7126, 8144, 14252, 28504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56992 and 57008. The biggest common factor number is the GCF number.
So the greatest common factor 56992 and 57008 is 16.

Also check out the Least Common Multiple of 56992 and 57008