What is the Greatest Common Factor of 86022 and 86031?

Greatest common factor (GCF) of 86022 and 86031 is 9.

GCF(86022,86031) = 9

We will now calculate the prime factors of 86022 and 86031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86022 and 86031.

How to find the GCF of 86022 and 86031?

We will first find the prime factorization of 86022 and 86031. After we will calculate the factors of 86022 and 86031 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 86031

Prime factors of 86031 are 3, 11, 79. Prime factorization of 86031 in exponential form is:

86031 = 3² × 11² × 79¹

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 86031

List of positive integer factors of 86031 that divides 86022 without a remainder.

1, 3, 9, 11, 33, 79, 99, 121, 237, 363, 711, 869, 1089, 2607, 7821, 9559, 28677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86022 and 86031. The biggest common factor number is the GCF number.
So the greatest common factor 86022 and 86031 is 9.

Also check out the Least Common Multiple of 86022 and 86031