What is the Greatest Common Factor of 56004 and 56008?

Greatest common factor (GCF) of 56004 and 56008 is 4.

GCF(56004,56008) = 4

We will now calculate the prime factors of 56004 and 56008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56004 and 56008.

How to find the GCF of 56004 and 56008?

We will first find the prime factorization of 56004 and 56008. After we will calculate the factors of 56004 and 56008 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 56008

Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:

56008 = 2³ × 7001¹

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 56008

List of positive integer factors of 56008 that divides 56004 without a remainder.

1, 2, 4, 8, 7001, 14002, 28004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56004 and 56008. The biggest common factor number is the GCF number.
So the greatest common factor 56004 and 56008 is 4.

Also check out the Least Common Multiple of 56004 and 56008