What is the Greatest Common Factor of 88314 and 88332?

Greatest common factor (GCF) of 88314 and 88332 is 6.

GCF(88314,88332) = 6

We will now calculate the prime factors of 88314 and 88332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88314 and 88332.

How to find the GCF of 88314 and 88332?

We will first find the prime factorization of 88314 and 88332. After we will calculate the factors of 88314 and 88332 and find the biggest common factor number .

Step-1: Prime Factorization of 88314

Prime factors of 88314 are 2, 3, 41, 359. Prime factorization of 88314 in exponential form is:

88314 = 2¹ × 3¹ × 41¹ × 359¹

Step-2: Prime Factorization of 88332

Prime factors of 88332 are 2, 3, 17, 433. Prime factorization of 88332 in exponential form is:

88332 = 2² × 3¹ × 17¹ × 433¹

Step-3: Factors of 88314

List of positive integer factors of 88314 that divides 88314 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 359, 718, 1077, 2154, 14719, 29438, 44157

Step-4: Factors of 88332

List of positive integer factors of 88332 that divides 88314 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 433, 866, 1299, 1732, 2598, 5196, 7361, 14722, 22083, 29444, 44166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88314 and 88332. The biggest common factor number is the GCF number.
So the greatest common factor 88314 and 88332 is 6.

Also check out the Least Common Multiple of 88314 and 88332