What is the Greatest Common Factor of 56125 and 56130?

Greatest common factor (GCF) of 56125 and 56130 is 5.

GCF(56125,56130) = 5

We will now calculate the prime factors of 56125 and 56130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56125 and 56130.

How to find the GCF of 56125 and 56130?

We will first find the prime factorization of 56125 and 56130. After we will calculate the factors of 56125 and 56130 and find the biggest common factor number .

Step-1: Prime Factorization of 56125

Prime factors of 56125 are 5, 449. Prime factorization of 56125 in exponential form is:

56125 = 5³ × 449¹

Step-2: Prime Factorization of 56130

Prime factors of 56130 are 2, 3, 5, 1871. Prime factorization of 56130 in exponential form is:

56130 = 2¹ × 3¹ × 5¹ × 1871¹

Step-3: Factors of 56125

List of positive integer factors of 56125 that divides 56125 without a remainder.

1, 5, 25, 125, 449, 2245, 11225

Step-4: Factors of 56130

List of positive integer factors of 56130 that divides 56125 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1871, 3742, 5613, 9355, 11226, 18710, 28065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56125 and 56130. The biggest common factor number is the GCF number.
So the greatest common factor 56125 and 56130 is 5.

Also check out the Least Common Multiple of 56125 and 56130