What is the Greatest Common Factor of 89304 and 89316?

Greatest common factor (GCF) of 89304 and 89316 is 12.

GCF(89304,89316) = 12

We will now calculate the prime factors of 89304 and 89316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89304 and 89316.

How to find the GCF of 89304 and 89316?

We will first find the prime factorization of 89304 and 89316. After we will calculate the factors of 89304 and 89316 and find the biggest common factor number .

Step-1: Prime Factorization of 89304

Prime factors of 89304 are 2, 3, 61. Prime factorization of 89304 in exponential form is:

89304 = 2³ × 3¹ × 61²

Step-2: Prime Factorization of 89316

Prime factors of 89316 are 2, 3, 827. Prime factorization of 89316 in exponential form is:

89316 = 2² × 3³ × 827¹

Step-3: Factors of 89304

List of positive integer factors of 89304 that divides 89304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464, 3721, 7442, 11163, 14884, 22326, 29768, 44652

Step-4: Factors of 89316

List of positive integer factors of 89316 that divides 89304 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 827, 1654, 2481, 3308, 4962, 7443, 9924, 14886, 22329, 29772, 44658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89304 and 89316. The biggest common factor number is the GCF number.
So the greatest common factor 89304 and 89316 is 12.

Also check out the Least Common Multiple of 89304 and 89316