What is the Greatest Common Factor of 89920 and 89935?

Greatest common factor (GCF) of 89920 and 89935 is 5.

GCF(89920,89935) = 5

We will now calculate the prime factors of 89920 and 89935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89920 and 89935.

How to find the GCF of 89920 and 89935?

We will first find the prime factorization of 89920 and 89935. After we will calculate the factors of 89920 and 89935 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 89935

Prime factors of 89935 are 5, 17987. Prime factorization of 89935 in exponential form is:

89935 = 5¹ × 17987¹

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 89935

List of positive integer factors of 89935 that divides 89920 without a remainder.

1, 5, 17987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89920 and 89935. The biggest common factor number is the GCF number.
So the greatest common factor 89920 and 89935 is 5.

Also check out the Least Common Multiple of 89920 and 89935