What is the Greatest Common Factor of 61250 and 61270?

Greatest common factor (GCF) of 61250 and 61270 is 10.

GCF(61250,61270) = 10

We will now calculate the prime factors of 61250 and 61270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61250 and 61270.

How to find the GCF of 61250 and 61270?

We will first find the prime factorization of 61250 and 61270. After we will calculate the factors of 61250 and 61270 and find the biggest common factor number .

Step-1: Prime Factorization of 61250

Prime factors of 61250 are 2, 5, 7. Prime factorization of 61250 in exponential form is:

61250 = 2¹ × 5⁴ × 7²

Step-2: Prime Factorization of 61270

Prime factors of 61270 are 2, 5, 11, 557. Prime factorization of 61270 in exponential form is:

61270 = 2¹ × 5¹ × 11¹ × 557¹

Step-3: Factors of 61250

List of positive integer factors of 61250 that divides 61250 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 350, 490, 625, 875, 1225, 1250, 1750, 2450, 4375, 6125, 8750, 12250, 30625

Step-4: Factors of 61270

List of positive integer factors of 61270 that divides 61250 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 557, 1114, 2785, 5570, 6127, 12254, 30635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61250 and 61270. The biggest common factor number is the GCF number.
So the greatest common factor 61250 and 61270 is 10.

Also check out the Least Common Multiple of 61250 and 61270