What is the Greatest Common Factor of 56600 and 56616?

Greatest common factor (GCF) of 56600 and 56616 is 8.

GCF(56600,56616) = 8

We will now calculate the prime factors of 56600 and 56616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56600 and 56616.

How to find the GCF of 56600 and 56616?

We will first find the prime factorization of 56600 and 56616. After we will calculate the factors of 56600 and 56616 and find the biggest common factor number .

Step-1: Prime Factorization of 56600

Prime factors of 56600 are 2, 5, 283. Prime factorization of 56600 in exponential form is:

56600 = 2³ × 5² × 283¹

Step-2: Prime Factorization of 56616

Prime factors of 56616 are 2, 3, 7, 337. Prime factorization of 56616 in exponential form is:

56616 = 2³ × 3¹ × 7¹ × 337¹

Step-3: Factors of 56600

List of positive integer factors of 56600 that divides 56600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 283, 566, 1132, 1415, 2264, 2830, 5660, 7075, 11320, 14150, 28300

Step-4: Factors of 56616

List of positive integer factors of 56616 that divides 56600 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 337, 674, 1011, 1348, 2022, 2359, 2696, 4044, 4718, 7077, 8088, 9436, 14154, 18872, 28308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56600 and 56616. The biggest common factor number is the GCF number.
So the greatest common factor 56600 and 56616 is 8.

Also check out the Least Common Multiple of 56600 and 56616