What is the Greatest Common Factor of 56004 and 56019?

Greatest common factor (GCF) of 56004 and 56019 is 3.

GCF(56004,56019) = 3

We will now calculate the prime factors of 56004 and 56019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56004 and 56019.

How to find the GCF of 56004 and 56019?

We will first find the prime factorization of 56004 and 56019. After we will calculate the factors of 56004 and 56019 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 56019

Prime factors of 56019 are 3, 71, 263. Prime factorization of 56019 in exponential form is:

56019 = 3¹ × 71¹ × 263¹

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 56019

List of positive integer factors of 56019 that divides 56004 without a remainder.

1, 3, 71, 213, 263, 789, 18673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56004 and 56019. The biggest common factor number is the GCF number.
So the greatest common factor 56004 and 56019 is 3.

Also check out the Least Common Multiple of 56004 and 56019