What is the Greatest Common Factor of 86250 and 86262?

Greatest common factor (GCF) of 86250 and 86262 is 6.

GCF(86250,86262) = 6

We will now calculate the prime factors of 86250 and 86262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86250 and 86262.

How to find the GCF of 86250 and 86262?

We will first find the prime factorization of 86250 and 86262. After we will calculate the factors of 86250 and 86262 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 86262

Prime factors of 86262 are 2, 3, 11, 1307. Prime factorization of 86262 in exponential form is:

86262 = 2¹ × 3¹ × 11¹ × 1307¹

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 86262

List of positive integer factors of 86262 that divides 86250 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1307, 2614, 3921, 7842, 14377, 28754, 43131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86250 and 86262. The biggest common factor number is the GCF number.
So the greatest common factor 86250 and 86262 is 6.

Also check out the Least Common Multiple of 86250 and 86262