What is the Greatest Common Factor of 21920 and 21925?

Greatest common factor (GCF) of 21920 and 21925 is 5.

GCF(21920,21925) = 5

We will now calculate the prime factors of 21920 and 21925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21920 and 21925.

How to find the GCF of 21920 and 21925?

We will first find the prime factorization of 21920 and 21925. After we will calculate the factors of 21920 and 21925 and find the biggest common factor number .

Step-1: Prime Factorization of 21920

Prime factors of 21920 are 2, 5, 137. Prime factorization of 21920 in exponential form is:

21920 = 2⁵ × 5¹ × 137¹

Step-2: Prime Factorization of 21925

Prime factors of 21925 are 5, 877. Prime factorization of 21925 in exponential form is:

21925 = 5² × 877¹

Step-3: Factors of 21920

List of positive integer factors of 21920 that divides 21920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 137, 160, 274, 548, 685, 1096, 1370, 2192, 2740, 4384, 5480, 10960

Step-4: Factors of 21925

List of positive integer factors of 21925 that divides 21920 without a remainder.

1, 5, 25, 877, 4385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21920 and 21925. The biggest common factor number is the GCF number.
So the greatest common factor 21920 and 21925 is 5.

Also check out the Least Common Multiple of 21920 and 21925