What is the Greatest Common Factor of 89124 and 89128?

Greatest common factor (GCF) of 89124 and 89128 is 4.

GCF(89124,89128) = 4

We will now calculate the prime factors of 89124 and 89128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89124 and 89128.

How to find the GCF of 89124 and 89128?

We will first find the prime factorization of 89124 and 89128. After we will calculate the factors of 89124 and 89128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89128

Prime factors of 89128 are 2, 13, 857. Prime factorization of 89128 in exponential form is:

89128 = 2³ × 13¹ × 857¹

Step-3: Factors of 89124

List of positive integer factors of 89124 that divides 89124 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

Step-4: Factors of 89128

List of positive integer factors of 89128 that divides 89124 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 857, 1714, 3428, 6856, 11141, 22282, 44564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89124 and 89128. The biggest common factor number is the GCF number.
So the greatest common factor 89124 and 89128 is 4.

Also check out the Least Common Multiple of 89124 and 89128