What is the Greatest Common Factor of 89920 and 89925?

Greatest common factor (GCF) of 89920 and 89925 is 5.

GCF(89920,89925) = 5

We will now calculate the prime factors of 89920 and 89925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89920 and 89925.

How to find the GCF of 89920 and 89925?

We will first find the prime factorization of 89920 and 89925. After we will calculate the factors of 89920 and 89925 and find the biggest common factor number .

Step-1: Prime Factorization of 89920

Prime factors of 89920 are 2, 5, 281. Prime factorization of 89920 in exponential form is:

89920 = 2⁶ × 5¹ × 281¹

Step-2: 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-3: Factors of 89920

List of positive integer factors of 89920 that divides 89920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 281, 320, 562, 1124, 1405, 2248, 2810, 4496, 5620, 8992, 11240, 17984, 22480, 44960

Step-4: Factors of 89925

List of positive integer factors of 89925 that divides 89920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89920 and 89925. The biggest common factor number is the GCF number.
So the greatest common factor 89920 and 89925 is 5.

Also check out the Least Common Multiple of 89920 and 89925