What is the Greatest Common Factor of 56640 and 56659?

Greatest common factor (GCF) of 56640 and 56659 is 1.

GCF(56640,56659) = 1

We will now calculate the prime factors of 56640 and 56659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56640 and 56659.

How to find the GCF of 56640 and 56659?

We will first find the prime factorization of 56640 and 56659. After we will calculate the factors of 56640 and 56659 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 56659

Prime factors of 56659 are 56659. Prime factorization of 56659 in exponential form is:

56659 = 56659¹

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 56659

List of positive integer factors of 56659 that divides 56640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56640 and 56659. The biggest common factor number is the GCF number.
So the greatest common factor 56640 and 56659 is 1.

Also check out the Least Common Multiple of 56640 and 56659