What is the Greatest Common Factor of 56635 and 56640?

Greatest common factor (GCF) of 56635 and 56640 is 5.

GCF(56635,56640) = 5

We will now calculate the prime factors of 56635 and 56640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56635 and 56640.

How to find the GCF of 56635 and 56640?

We will first find the prime factorization of 56635 and 56640. After we will calculate the factors of 56635 and 56640 and find the biggest common factor number .

Step-1: Prime Factorization of 56635

Prime factors of 56635 are 5, 47, 241. Prime factorization of 56635 in exponential form is:

56635 = 5¹ × 47¹ × 241¹

Step-2: 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-3: Factors of 56635

List of positive integer factors of 56635 that divides 56635 without a remainder.

1, 5, 47, 235, 241, 1205, 11327

Step-4: Factors of 56640

List of positive integer factors of 56640 that divides 56635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56635 and 56640. The biggest common factor number is the GCF number.
So the greatest common factor 56635 and 56640 is 5.

Also check out the Least Common Multiple of 56635 and 56640