What is the Greatest Common Factor of 89107 and 89124?

Greatest common factor (GCF) of 89107 and 89124 is 1.

GCF(89107,89124) = 1

We will now calculate the prime factors of 89107 and 89124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89107 and 89124.

How to find the GCF of 89107 and 89124?

We will first find the prime factorization of 89107 and 89124. After we will calculate the factors of 89107 and 89124 and find the biggest common factor number .

Step-1: Prime Factorization of 89107

Prime factors of 89107 are 89107. Prime factorization of 89107 in exponential form is:

89107 = 89107¹

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 89107

List of positive integer factors of 89107 that divides 89107 without a remainder.

Step-4: Factors of 89124

List of positive integer factors of 89124 that divides 89107 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 89107 and 89124. The biggest common factor number is the GCF number.
So the greatest common factor 89107 and 89124 is 1.

Also check out the Least Common Multiple of 89107 and 89124