What is the Greatest Common Factor of 86250 and 86256?

Greatest common factor (GCF) of 86250 and 86256 is 6.

GCF(86250,86256) = 6

We will now calculate the prime factors of 86250 and 86256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86250 and 86256.

How to find the GCF of 86250 and 86256?

We will first find the prime factorization of 86250 and 86256. After we will calculate the factors of 86250 and 86256 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 86256

Prime factors of 86256 are 2, 3, 599. Prime factorization of 86256 in exponential form is:

86256 = 2⁴ × 3² × 599¹

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 86256

List of positive integer factors of 86256 that divides 86250 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 599, 1198, 1797, 2396, 3594, 4792, 5391, 7188, 9584, 10782, 14376, 21564, 28752, 43128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86250 and 86256. The biggest common factor number is the GCF number.
So the greatest common factor 86250 and 86256 is 6.

Also check out the Least Common Multiple of 86250 and 86256