What is the Greatest Common Factor of 61236 and 61250?

Greatest common factor (GCF) of 61236 and 61250 is 14.

GCF(61236,61250) = 14

We will now calculate the prime factors of 61236 and 61250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61236 and 61250.

How to find the GCF of 61236 and 61250?

We will first find the prime factorization of 61236 and 61250. After we will calculate the factors of 61236 and 61250 and find the biggest common factor number .

Step-1: Prime Factorization of 61236

Prime factors of 61236 are 2, 3, 7. Prime factorization of 61236 in exponential form is:

61236 = 2² × 3⁷ × 7¹

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 61236

List of positive integer factors of 61236 that divides 61236 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 729, 756, 972, 1134, 1458, 1701, 2187, 2268, 2916, 3402, 4374, 5103, 6804, 8748, 10206, 15309, 20412, 30618

Step-4: Factors of 61250

List of positive integer factors of 61250 that divides 61236 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 61236 and 61250. The biggest common factor number is the GCF number.
So the greatest common factor 61236 and 61250 is 14.

Also check out the Least Common Multiple of 61236 and 61250