What is the Greatest Common Factor of 89124 and 89137?

Greatest common factor (GCF) of 89124 and 89137 is 1.

GCF(89124,89137) = 1

We will now calculate the prime factors of 89124 and 89137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89124 and 89137.

How to find the GCF of 89124 and 89137?

We will first find the prime factorization of 89124 and 89137. After we will calculate the factors of 89124 and 89137 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 89137

Prime factors of 89137 are 89137. Prime factorization of 89137 in exponential form is:

89137 = 89137¹

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 89137

List of positive integer factors of 89137 that divides 89124 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89124 and 89137. The biggest common factor number is the GCF number.
So the greatest common factor 89124 and 89137 is 1.

Also check out the Least Common Multiple of 89124 and 89137