What is the Greatest Common Factor of 56900 and 56920?

Greatest common factor (GCF) of 56900 and 56920 is 20.

GCF(56900,56920) = 20

We will now calculate the prime factors of 56900 and 56920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56900 and 56920.

How to find the GCF of 56900 and 56920?

We will first find the prime factorization of 56900 and 56920. After we will calculate the factors of 56900 and 56920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56920

Prime factors of 56920 are 2, 5, 1423. Prime factorization of 56920 in exponential form is:

56920 = 2³ × 5¹ × 1423¹

Step-3: Factors of 56900

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

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

Step-4: Factors of 56920

List of positive integer factors of 56920 that divides 56900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1423, 2846, 5692, 7115, 11384, 14230, 28460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56900 and 56920. The biggest common factor number is the GCF number.
So the greatest common factor 56900 and 56920 is 20.

Also check out the Least Common Multiple of 56900 and 56920