What is the Greatest Common Factor of 61238 and 61250?

Greatest common factor (GCF) of 61238 and 61250 is 2.

GCF(61238,61250) = 2

We will now calculate the prime factors of 61238 and 61250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61238 and 61250.

How to find the GCF of 61238 and 61250?

We will first find the prime factorization of 61238 and 61250. After we will calculate the factors of 61238 and 61250 and find the biggest common factor number .

Step-1: Prime Factorization of 61238

Prime factors of 61238 are 2, 67, 457. Prime factorization of 61238 in exponential form is:

61238 = 2¹ × 67¹ × 457¹

Step-2: 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-3: Factors of 61238

List of positive integer factors of 61238 that divides 61238 without a remainder.

1, 2, 67, 134, 457, 914, 30619

Step-4: Factors of 61250

List of positive integer factors of 61250 that divides 61238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61238 and 61250. The biggest common factor number is the GCF number.
So the greatest common factor 61238 and 61250 is 2.

Also check out the Least Common Multiple of 61238 and 61250