What is the Greatest Common Factor of 89925 and 89939?

Greatest common factor (GCF) of 89925 and 89939 is 1.

GCF(89925,89939) = 1

We will now calculate the prime factors of 89925 and 89939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89925 and 89939.

How to find the GCF of 89925 and 89939?

We will first find the prime factorization of 89925 and 89939. After we will calculate the factors of 89925 and 89939 and find the biggest common factor number .

Step-1: Prime Factorization of 89925

Prime factors of 89925 are 3, 5, 11, 109. Prime factorization of 89925 in exponential form is:

89925 = 3¹ × 5² × 11¹ × 109¹

Step-2: Prime Factorization of 89939

Prime factors of 89939 are 89939. Prime factorization of 89939 in exponential form is:

89939 = 89939¹

Step-3: Factors of 89925

List of positive integer factors of 89925 that divides 89925 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 109, 165, 275, 327, 545, 825, 1199, 1635, 2725, 3597, 5995, 8175, 17985, 29975

Step-4: Factors of 89939

List of positive integer factors of 89939 that divides 89925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89925 and 89939. The biggest common factor number is the GCF number.
So the greatest common factor 89925 and 89939 is 1.

Also check out the Least Common Multiple of 89925 and 89939