What is the Greatest Common Factor of 56640 and 56645?

Greatest common factor (GCF) of 56640 and 56645 is 5.

GCF(56640,56645) = 5

We will now calculate the prime factors of 56640 and 56645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56640 and 56645.

How to find the GCF of 56640 and 56645?

We will first find the prime factorization of 56640 and 56645. After we will calculate the factors of 56640 and 56645 and find the biggest common factor number .

Step-1: Prime Factorization of 56640

Prime factors of 56640 are 2, 3, 5, 59. Prime factorization of 56640 in exponential form is:

56640 = 2⁶ × 3¹ × 5¹ × 59¹

Step-2: Prime Factorization of 56645

Prime factors of 56645 are 5, 11329. Prime factorization of 56645 in exponential form is:

56645 = 5¹ × 11329¹

Step-3: Factors of 56640

List of positive integer factors of 56640 that divides 56640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 59, 60, 64, 80, 96, 118, 120, 160, 177, 192, 236, 240, 295, 320, 354, 472, 480, 590, 708, 885, 944, 960, 1180, 1416, 1770, 1888, 2360, 2832, 3540, 3776, 4720, 5664, 7080, 9440, 11328, 14160, 18880, 28320

Step-4: Factors of 56645

List of positive integer factors of 56645 that divides 56640 without a remainder.

1, 5, 11329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56640 and 56645. The biggest common factor number is the GCF number.
So the greatest common factor 56640 and 56645 is 5.

Also check out the Least Common Multiple of 56640 and 56645