What is the Greatest Common Factor of 86022 and 86026?

Greatest common factor (GCF) of 86022 and 86026 is 2.

GCF(86022,86026) = 2

We will now calculate the prime factors of 86022 and 86026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86022 and 86026.

How to find the GCF of 86022 and 86026?

We will first find the prime factorization of 86022 and 86026. After we will calculate the factors of 86022 and 86026 and find the biggest common factor number .

Step-1: Prime Factorization of 86022

Prime factors of 86022 are 2, 3, 59. Prime factorization of 86022 in exponential form is:

86022 = 2¹ × 3⁶ × 59¹

Step-2: Prime Factorization of 86026

Prime factors of 86026 are 2, 43013. Prime factorization of 86026 in exponential form is:

86026 = 2¹ × 43013¹

Step-3: Factors of 86022

List of positive integer factors of 86022 that divides 86022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 243, 354, 486, 531, 729, 1062, 1458, 1593, 3186, 4779, 9558, 14337, 28674, 43011

Step-4: Factors of 86026

List of positive integer factors of 86026 that divides 86022 without a remainder.

1, 2, 43013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86022 and 86026. The biggest common factor number is the GCF number.
So the greatest common factor 86022 and 86026 is 2.

Also check out the Least Common Multiple of 86022 and 86026