What is the Greatest Common Factor of 56900 and 56910?

Greatest common factor (GCF) of 56900 and 56910 is 10.

GCF(56900,56910) = 10

We will now calculate the prime factors of 56900 and 56910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56900 and 56910.

How to find the GCF of 56900 and 56910?

We will first find the prime factorization of 56900 and 56910. After we will calculate the factors of 56900 and 56910 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 56910

Prime factors of 56910 are 2, 3, 5, 7, 271. Prime factorization of 56910 in exponential form is:

56910 = 2¹ × 3¹ × 5¹ × 7¹ × 271¹

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 56910

List of positive integer factors of 56910 that divides 56900 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 271, 542, 813, 1355, 1626, 1897, 2710, 3794, 4065, 5691, 8130, 9485, 11382, 18970, 28455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56900 and 56910. The biggest common factor number is the GCF number.
So the greatest common factor 56900 and 56910 is 10.

Also check out the Least Common Multiple of 56900 and 56910