What is the Greatest Common Factor of 21108 and 21117?

Greatest common factor (GCF) of 21108 and 21117 is 3.

GCF(21108,21117) = 3

We will now calculate the prime factors of 21108 and 21117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21108 and 21117.

How to find the GCF of 21108 and 21117?

We will first find the prime factorization of 21108 and 21117. After we will calculate the factors of 21108 and 21117 and find the biggest common factor number .

Step-1: Prime Factorization of 21108

Prime factors of 21108 are 2, 3, 1759. Prime factorization of 21108 in exponential form is:

21108 = 2² × 3¹ × 1759¹

Step-2: Prime Factorization of 21117

Prime factors of 21117 are 3, 7039. Prime factorization of 21117 in exponential form is:

21117 = 3¹ × 7039¹

Step-3: Factors of 21108

List of positive integer factors of 21108 that divides 21108 without a remainder.

1, 2, 3, 4, 6, 12, 1759, 3518, 5277, 7036, 10554

Step-4: Factors of 21117

List of positive integer factors of 21117 that divides 21108 without a remainder.

1, 3, 7039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21108 and 21117. The biggest common factor number is the GCF number.
So the greatest common factor 21108 and 21117 is 3.

Also check out the Least Common Multiple of 21108 and 21117