What is the Greatest Common Factor of 56900 and 56918?

Greatest common factor (GCF) of 56900 and 56918 is 2.

GCF(56900,56918) = 2

We will now calculate the prime factors of 56900 and 56918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56900 and 56918.

How to find the GCF of 56900 and 56918?

We will first find the prime factorization of 56900 and 56918. After we will calculate the factors of 56900 and 56918 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 56918

Prime factors of 56918 are 2, 149, 191. Prime factorization of 56918 in exponential form is:

56918 = 2¹ × 149¹ × 191¹

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 56918

List of positive integer factors of 56918 that divides 56900 without a remainder.

1, 2, 149, 191, 298, 382, 28459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56900 and 56918. The biggest common factor number is the GCF number.
So the greatest common factor 56900 and 56918 is 2.

Also check out the Least Common Multiple of 56900 and 56918