What is the Greatest Common Factor of 56895 and 56900?

Greatest common factor (GCF) of 56895 and 56900 is 5.

GCF(56895,56900) = 5

We will now calculate the prime factors of 56895 and 56900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56895 and 56900.

How to find the GCF of 56895 and 56900?

We will first find the prime factorization of 56895 and 56900. After we will calculate the factors of 56895 and 56900 and find the biggest common factor number .

Step-1: Prime Factorization of 56895

Prime factors of 56895 are 3, 5, 3793. Prime factorization of 56895 in exponential form is:

56895 = 3¹ × 5¹ × 3793¹

Step-2: Prime Factorization of 56900

Prime factors of 56900 are 2, 5, 569. Prime factorization of 56900 in exponential form is:

56900 = 2² × 5² × 569¹

Step-3: Factors of 56895

List of positive integer factors of 56895 that divides 56895 without a remainder.

1, 3, 5, 15, 3793, 11379, 18965

Step-4: Factors of 56900

List of positive integer factors of 56900 that divides 56895 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 569, 1138, 2276, 2845, 5690, 11380, 14225, 28450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56895 and 56900. The biggest common factor number is the GCF number.
So the greatest common factor 56895 and 56900 is 5.

Also check out the Least Common Multiple of 56895 and 56900