What is the Greatest Common Factor of 89920 and 89932?

Greatest common factor (GCF) of 89920 and 89932 is 4.

GCF(89920,89932) = 4

We will now calculate the prime factors of 89920 and 89932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89920 and 89932.

How to find the GCF of 89920 and 89932?

We will first find the prime factorization of 89920 and 89932. After we will calculate the factors of 89920 and 89932 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 89932

Prime factors of 89932 are 2, 22483. Prime factorization of 89932 in exponential form is:

89932 = 2² × 22483¹

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 89932

List of positive integer factors of 89932 that divides 89920 without a remainder.

1, 2, 4, 22483, 44966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89920 and 89932. The biggest common factor number is the GCF number.
So the greatest common factor 89920 and 89932 is 4.

Also check out the Least Common Multiple of 89920 and 89932