What is the Greatest Common Factor of 21912 and 21925?

Greatest common factor (GCF) of 21912 and 21925 is 1.

GCF(21912,21925) = 1

We will now calculate the prime factors of 21912 and 21925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21912 and 21925.

How to find the GCF of 21912 and 21925?

We will first find the prime factorization of 21912 and 21925. After we will calculate the factors of 21912 and 21925 and find the biggest common factor number .

Step-1: Prime Factorization of 21912

Prime factors of 21912 are 2, 3, 11, 83. Prime factorization of 21912 in exponential form is:

21912 = 2³ × 3¹ × 11¹ × 83¹

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 21912

List of positive integer factors of 21912 that divides 21912 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 83, 88, 132, 166, 249, 264, 332, 498, 664, 913, 996, 1826, 1992, 2739, 3652, 5478, 7304, 10956

Step-4: Factors of 21925

List of positive integer factors of 21925 that divides 21912 without a remainder.

1, 5, 25, 877, 4385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21912 and 21925. The biggest common factor number is the GCF number.
So the greatest common factor 21912 and 21925 is 1.

Also check out the Least Common Multiple of 21912 and 21925