What is the Greatest Common Factor of 56632 and 56640?

Greatest common factor (GCF) of 56632 and 56640 is 8.

GCF(56632,56640) = 8

We will now calculate the prime factors of 56632 and 56640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56632 and 56640.

How to find the GCF of 56632 and 56640?

We will first find the prime factorization of 56632 and 56640. After we will calculate the factors of 56632 and 56640 and find the biggest common factor number .

Step-1: Prime Factorization of 56632

Prime factors of 56632 are 2, 7079. Prime factorization of 56632 in exponential form is:

56632 = 2³ × 7079¹

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 56632

List of positive integer factors of 56632 that divides 56632 without a remainder.

1, 2, 4, 8, 7079, 14158, 28316

Step-4: Factors of 56640

List of positive integer factors of 56640 that divides 56632 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 56632 and 56640. The biggest common factor number is the GCF number.
So the greatest common factor 56632 and 56640 is 8.

Also check out the Least Common Multiple of 56632 and 56640