What is the Greatest Common Factor of 89115 and 89124?

Greatest common factor (GCF) of 89115 and 89124 is 3.

GCF(89115,89124) = 3

We will now calculate the prime factors of 89115 and 89124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89115 and 89124.

How to find the GCF of 89115 and 89124?

We will first find the prime factorization of 89115 and 89124. After we will calculate the factors of 89115 and 89124 and find the biggest common factor number .

Step-1: Prime Factorization of 89115

Prime factors of 89115 are 3, 5, 13, 457. Prime factorization of 89115 in exponential form is:

89115 = 3¹ × 5¹ × 13¹ × 457¹

Step-2: Prime Factorization of 89124

Prime factors of 89124 are 2, 3, 7, 1061. Prime factorization of 89124 in exponential form is:

89124 = 2² × 3¹ × 7¹ × 1061¹

Step-3: Factors of 89115

List of positive integer factors of 89115 that divides 89115 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 457, 1371, 2285, 5941, 6855, 17823, 29705

Step-4: Factors of 89124

List of positive integer factors of 89124 that divides 89115 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1061, 2122, 3183, 4244, 6366, 7427, 12732, 14854, 22281, 29708, 44562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89115 and 89124. The biggest common factor number is the GCF number.
So the greatest common factor 89115 and 89124 is 3.

Also check out the Least Common Multiple of 89115 and 89124