What is the Greatest Common Factor of 21901 and 21912?

Greatest common factor (GCF) of 21901 and 21912 is 11.

GCF(21901,21912) = 11

We will now calculate the prime factors of 21901 and 21912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21901 and 21912.

How to find the GCF of 21901 and 21912?

We will first find the prime factorization of 21901 and 21912. After we will calculate the factors of 21901 and 21912 and find the biggest common factor number .

Step-1: Prime Factorization of 21901

Prime factors of 21901 are 11, 181. Prime factorization of 21901 in exponential form is:

21901 = 11² × 181¹

Step-2: 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-3: Factors of 21901

List of positive integer factors of 21901 that divides 21901 without a remainder.

1, 11, 121, 181, 1991

Step-4: Factors of 21912

List of positive integer factors of 21912 that divides 21901 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21901 and 21912. The biggest common factor number is the GCF number.
So the greatest common factor 21901 and 21912 is 11.

Also check out the Least Common Multiple of 21901 and 21912