What is the Greatest Common Factor of 89920 and 89931?

Greatest common factor (GCF) of 89920 and 89931 is 1.

GCF(89920,89931) = 1

We will now calculate the prime factors of 89920 and 89931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89920 and 89931.

How to find the GCF of 89920 and 89931?

We will first find the prime factorization of 89920 and 89931. After we will calculate the factors of 89920 and 89931 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 89931

Prime factors of 89931 are 3, 31, 967. Prime factorization of 89931 in exponential form is:

89931 = 3¹ × 31¹ × 967¹

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 89931

List of positive integer factors of 89931 that divides 89920 without a remainder.

1, 3, 31, 93, 967, 2901, 29977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89920 and 89931. The biggest common factor number is the GCF number.
So the greatest common factor 89920 and 89931 is 1.

Also check out the Least Common Multiple of 89920 and 89931