What is the Greatest Common Factor of 56288 and 56300?

Greatest common factor (GCF) of 56288 and 56300 is 4.

GCF(56288,56300) = 4

We will now calculate the prime factors of 56288 and 56300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56288 and 56300.

How to find the GCF of 56288 and 56300?

We will first find the prime factorization of 56288 and 56300. After we will calculate the factors of 56288 and 56300 and find the biggest common factor number .

Step-1: Prime Factorization of 56288

Prime factors of 56288 are 2, 1759. Prime factorization of 56288 in exponential form is:

56288 = 2⁵ × 1759¹

Step-2: Prime Factorization of 56300

Prime factors of 56300 are 2, 5, 563. Prime factorization of 56300 in exponential form is:

56300 = 2² × 5² × 563¹

Step-3: Factors of 56288

List of positive integer factors of 56288 that divides 56288 without a remainder.

1, 2, 4, 8, 16, 32, 1759, 3518, 7036, 14072, 28144

Step-4: Factors of 56300

List of positive integer factors of 56300 that divides 56288 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 563, 1126, 2252, 2815, 5630, 11260, 14075, 28150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56288 and 56300. The biggest common factor number is the GCF number.
So the greatest common factor 56288 and 56300 is 4.

Also check out the Least Common Multiple of 56288 and 56300