What is the Greatest Common Factor of 21657 and 21668?

Greatest common factor (GCF) of 21657 and 21668 is 1.

GCF(21657,21668) = 1

We will now calculate the prime factors of 21657 and 21668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21657 and 21668.

How to find the GCF of 21657 and 21668?

We will first find the prime factorization of 21657 and 21668. After we will calculate the factors of 21657 and 21668 and find the biggest common factor number .

Step-1: Prime Factorization of 21657

Prime factors of 21657 are 3, 7219. Prime factorization of 21657 in exponential form is:

21657 = 3¹ × 7219¹

Step-2: Prime Factorization of 21668

Prime factors of 21668 are 2, 5417. Prime factorization of 21668 in exponential form is:

21668 = 2² × 5417¹

Step-3: Factors of 21657

List of positive integer factors of 21657 that divides 21657 without a remainder.

1, 3, 7219

Step-4: Factors of 21668

List of positive integer factors of 21668 that divides 21657 without a remainder.

1, 2, 4, 5417, 10834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21657 and 21668. The biggest common factor number is the GCF number.
So the greatest common factor 21657 and 21668 is 1.

Also check out the Least Common Multiple of 21657 and 21668