What is the Greatest Common Factor of 56250 and 56260?

Greatest common factor (GCF) of 56250 and 56260 is 10.

GCF(56250,56260) = 10

We will now calculate the prime factors of 56250 and 56260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56250 and 56260.

How to find the GCF of 56250 and 56260?

We will first find the prime factorization of 56250 and 56260. After we will calculate the factors of 56250 and 56260 and find the biggest common factor number .

Step-1: Prime Factorization of 56250

Prime factors of 56250 are 2, 3, 5. Prime factorization of 56250 in exponential form is:

56250 = 2¹ × 3² × 5⁵

Step-2: Prime Factorization of 56260

Prime factors of 56260 are 2, 5, 29, 97. Prime factorization of 56260 in exponential form is:

56260 = 2² × 5¹ × 29¹ × 97¹

Step-3: Factors of 56250

List of positive integer factors of 56250 that divides 56250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3125, 3750, 5625, 6250, 9375, 11250, 18750, 28125

Step-4: Factors of 56260

List of positive integer factors of 56260 that divides 56250 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 97, 116, 145, 194, 290, 388, 485, 580, 970, 1940, 2813, 5626, 11252, 14065, 28130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56250 and 56260. The biggest common factor number is the GCF number.
So the greatest common factor 56250 and 56260 is 10.

Also check out the Least Common Multiple of 56250 and 56260