What is the Greatest Common Factor of 88218 and 88231?

Greatest common factor (GCF) of 88218 and 88231 is 13.

GCF(88218,88231) = 13

We will now calculate the prime factors of 88218 and 88231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88218 and 88231.

How to find the GCF of 88218 and 88231?

We will first find the prime factorization of 88218 and 88231. After we will calculate the factors of 88218 and 88231 and find the biggest common factor number .

Step-1: Prime Factorization of 88218

Prime factors of 88218 are 2, 3, 13, 29. Prime factorization of 88218 in exponential form is:

88218 = 2¹ × 3² × 13² × 29¹

Step-2: Prime Factorization of 88231

Prime factors of 88231 are 11, 13, 617. Prime factorization of 88231 in exponential form is:

88231 = 11¹ × 13¹ × 617¹

Step-3: Factors of 88218

List of positive integer factors of 88218 that divides 88218 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 169, 174, 234, 261, 338, 377, 507, 522, 754, 1014, 1131, 1521, 2262, 3042, 3393, 4901, 6786, 9802, 14703, 29406, 44109

Step-4: Factors of 88231

List of positive integer factors of 88231 that divides 88218 without a remainder.

1, 11, 13, 143, 617, 6787, 8021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88218 and 88231. The biggest common factor number is the GCF number.
So the greatest common factor 88218 and 88231 is 13.

Also check out the Least Common Multiple of 88218 and 88231