What is the Greatest Common Factor of 56624 and 56644?

Greatest common factor (GCF) of 56624 and 56644 is 4.

GCF(56624,56644) = 4

We will now calculate the prime factors of 56624 and 56644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56624 and 56644.

How to find the GCF of 56624 and 56644?

We will first find the prime factorization of 56624 and 56644. After we will calculate the factors of 56624 and 56644 and find the biggest common factor number .

Step-1: Prime Factorization of 56624

Prime factors of 56624 are 2, 3539. Prime factorization of 56624 in exponential form is:

56624 = 2⁴ × 3539¹

Step-2: Prime Factorization of 56644

Prime factors of 56644 are 2, 7, 17. Prime factorization of 56644 in exponential form is:

56644 = 2² × 7² × 17²

Step-3: Factors of 56624

List of positive integer factors of 56624 that divides 56624 without a remainder.

1, 2, 4, 8, 16, 3539, 7078, 14156, 28312

Step-4: Factors of 56644

List of positive integer factors of 56644 that divides 56624 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 289, 476, 578, 833, 1156, 1666, 2023, 3332, 4046, 8092, 14161, 28322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56624 and 56644. The biggest common factor number is the GCF number.
So the greatest common factor 56624 and 56644 is 4.

Also check out the Least Common Multiple of 56624 and 56644