What is the Greatest Common Factor of 56500 and 56514?

Greatest common factor (GCF) of 56500 and 56514 is 2.

GCF(56500,56514) = 2

We will now calculate the prime factors of 56500 and 56514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56500 and 56514.

How to find the GCF of 56500 and 56514?

We will first find the prime factorization of 56500 and 56514. After we will calculate the factors of 56500 and 56514 and find the biggest common factor number .

Step-1: Prime Factorization of 56500

Prime factors of 56500 are 2, 5, 113. Prime factorization of 56500 in exponential form is:

56500 = 2² × 5³ × 113¹

Step-2: Prime Factorization of 56514

Prime factors of 56514 are 2, 3, 9419. Prime factorization of 56514 in exponential form is:

56514 = 2¹ × 3¹ × 9419¹

Step-3: Factors of 56500

List of positive integer factors of 56500 that divides 56500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 125, 226, 250, 452, 500, 565, 1130, 2260, 2825, 5650, 11300, 14125, 28250

Step-4: Factors of 56514

List of positive integer factors of 56514 that divides 56500 without a remainder.

1, 2, 3, 6, 9419, 18838, 28257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56500 and 56514. The biggest common factor number is the GCF number.
So the greatest common factor 56500 and 56514 is 2.

Also check out the Least Common Multiple of 56500 and 56514