What is the Greatest Common Factor of 56640 and 56655?

Greatest common factor (GCF) of 56640 and 56655 is 15.

GCF(56640,56655) = 15

We will now calculate the prime factors of 56640 and 56655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56640 and 56655.

How to find the GCF of 56640 and 56655?

We will first find the prime factorization of 56640 and 56655. After we will calculate the factors of 56640 and 56655 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 56655

Prime factors of 56655 are 3, 5, 1259. Prime factorization of 56655 in exponential form is:

56655 = 3² × 5¹ × 1259¹

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 56655

List of positive integer factors of 56655 that divides 56640 without a remainder.

1, 3, 5, 9, 15, 45, 1259, 3777, 6295, 11331, 18885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56640 and 56655. The biggest common factor number is the GCF number.
So the greatest common factor 56640 and 56655 is 15.

Also check out the Least Common Multiple of 56640 and 56655