What is the Greatest Common Factor of 56004 and 56017?

Greatest common factor (GCF) of 56004 and 56017 is 13.

GCF(56004,56017) = 13

We will now calculate the prime factors of 56004 and 56017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56004 and 56017.

How to find the GCF of 56004 and 56017?

We will first find the prime factorization of 56004 and 56017. After we will calculate the factors of 56004 and 56017 and find the biggest common factor number .

Step-1: Prime Factorization of 56004

Prime factors of 56004 are 2, 3, 13, 359. Prime factorization of 56004 in exponential form is:

56004 = 2² × 3¹ × 13¹ × 359¹

Step-2: Prime Factorization of 56017

Prime factors of 56017 are 13, 31, 139. Prime factorization of 56017 in exponential form is:

56017 = 13¹ × 31¹ × 139¹

Step-3: Factors of 56004

List of positive integer factors of 56004 that divides 56004 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 359, 718, 1077, 1436, 2154, 4308, 4667, 9334, 14001, 18668, 28002

Step-4: Factors of 56017

List of positive integer factors of 56017 that divides 56004 without a remainder.

1, 13, 31, 139, 403, 1807, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56004 and 56017. The biggest common factor number is the GCF number.
So the greatest common factor 56004 and 56017 is 13.

Also check out the Least Common Multiple of 56004 and 56017