What is the Greatest Common Factor of 89905 and 89920?

Greatest common factor (GCF) of 89905 and 89920 is 5.

GCF(89905,89920) = 5

We will now calculate the prime factors of 89905 and 89920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89905 and 89920.

How to find the GCF of 89905 and 89920?

We will first find the prime factorization of 89905 and 89920. After we will calculate the factors of 89905 and 89920 and find the biggest common factor number .

Step-1: Prime Factorization of 89905

Prime factors of 89905 are 5, 17981. Prime factorization of 89905 in exponential form is:

89905 = 5¹ × 17981¹

Step-2: 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-3: Factors of 89905

List of positive integer factors of 89905 that divides 89905 without a remainder.

1, 5, 17981

Step-4: Factors of 89920

List of positive integer factors of 89920 that divides 89905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89905 and 89920. The biggest common factor number is the GCF number.
So the greatest common factor 89905 and 89920 is 5.

Also check out the Least Common Multiple of 89905 and 89920