What is the Greatest Common Factor of 86238 and 86258?

Greatest common factor (GCF) of 86238 and 86258 is 2.

GCF(86238,86258) = 2

We will now calculate the prime factors of 86238 and 86258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86238 and 86258.

How to find the GCF of 86238 and 86258?

We will first find the prime factorization of 86238 and 86258. After we will calculate the factors of 86238 and 86258 and find the biggest common factor number .

Step-1: Prime Factorization of 86238

Prime factors of 86238 are 2, 3, 1597. Prime factorization of 86238 in exponential form is:

86238 = 2¹ × 3³ × 1597¹

Step-2: Prime Factorization of 86258

Prime factors of 86258 are 2, 17, 43, 59. Prime factorization of 86258 in exponential form is:

86258 = 2¹ × 17¹ × 43¹ × 59¹

Step-3: Factors of 86238

List of positive integer factors of 86238 that divides 86238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1597, 3194, 4791, 9582, 14373, 28746, 43119

Step-4: Factors of 86258

List of positive integer factors of 86258 that divides 86238 without a remainder.

1, 2, 17, 34, 43, 59, 86, 118, 731, 1003, 1462, 2006, 2537, 5074, 43129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86238 and 86258. The biggest common factor number is the GCF number.
So the greatest common factor 86238 and 86258 is 2.

Also check out the Least Common Multiple of 86238 and 86258