What is the Greatest Common Factor of 86250 and 86264?

Greatest common factor (GCF) of 86250 and 86264 is 2.

GCF(86250,86264) = 2

We will now calculate the prime factors of 86250 and 86264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86250 and 86264.

How to find the GCF of 86250 and 86264?

We will first find the prime factorization of 86250 and 86264. After we will calculate the factors of 86250 and 86264 and find the biggest common factor number .

Step-1: Prime Factorization of 86250

Prime factors of 86250 are 2, 3, 5, 23. Prime factorization of 86250 in exponential form is:

86250 = 2¹ × 3¹ × 5⁴ × 23¹

Step-2: Prime Factorization of 86264

Prime factors of 86264 are 2, 41, 263. Prime factorization of 86264 in exponential form is:

86264 = 2³ × 41¹ × 263¹

Step-3: Factors of 86250

List of positive integer factors of 86250 that divides 86250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 125, 138, 150, 230, 250, 345, 375, 575, 625, 690, 750, 1150, 1250, 1725, 1875, 2875, 3450, 3750, 5750, 8625, 14375, 17250, 28750, 43125

Step-4: Factors of 86264

List of positive integer factors of 86264 that divides 86250 without a remainder.

1, 2, 4, 8, 41, 82, 164, 263, 328, 526, 1052, 2104, 10783, 21566, 43132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86250 and 86264. The biggest common factor number is the GCF number.
So the greatest common factor 86250 and 86264 is 2.

Also check out the Least Common Multiple of 86250 and 86264