What is the Greatest Common Factor of 21908 and 21925?

Greatest common factor (GCF) of 21908 and 21925 is 1.

GCF(21908,21925) = 1

We will now calculate the prime factors of 21908 and 21925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21908 and 21925.

How to find the GCF of 21908 and 21925?

We will first find the prime factorization of 21908 and 21925. After we will calculate the factors of 21908 and 21925 and find the biggest common factor number .

Step-1: Prime Factorization of 21908

Prime factors of 21908 are 2, 5477. Prime factorization of 21908 in exponential form is:

21908 = 2² × 5477¹

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 21908

List of positive integer factors of 21908 that divides 21908 without a remainder.

1, 2, 4, 5477, 10954

Step-4: Factors of 21925

List of positive integer factors of 21925 that divides 21908 without a remainder.

1, 5, 25, 877, 4385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21908 and 21925. The biggest common factor number is the GCF number.
So the greatest common factor 21908 and 21925 is 1.

Also check out the Least Common Multiple of 21908 and 21925