What is the Greatest Common Factor of 6250 and 6264?

Greatest common factor (GCF) of 6250 and 6264 is 2.

GCF(6250,6264) = 2

We will now calculate the prime factors of 6250 and 6264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6250 and 6264.

How to find the GCF of 6250 and 6264?

We will first find the prime factorization of 6250 and 6264. After we will calculate the factors of 6250 and 6264 and find the biggest common factor number .

Step-1: Prime Factorization of 6250

Prime factors of 6250 are 2, 5. Prime factorization of 6250 in exponential form is:

6250 = 2¹ × 5⁵

Step-2: Prime Factorization of 6264

Prime factors of 6264 are 2, 3, 29. Prime factorization of 6264 in exponential form is:

6264 = 2³ × 3³ × 29¹

Step-3: Factors of 6250

List of positive integer factors of 6250 that divides 6250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125

Step-4: Factors of 6264

List of positive integer factors of 6264 that divides 6250 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6250 and 6264. The biggest common factor number is the GCF number.
So the greatest common factor 6250 and 6264 is 2.

Also check out the Least Common Multiple of 6250 and 6264