What is the Greatest Common Factor of 21677 and 21694?

Greatest common factor (GCF) of 21677 and 21694 is 1.

GCF(21677,21694) = 1

We will now calculate the prime factors of 21677 and 21694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21677 and 21694.

How to find the GCF of 21677 and 21694?

We will first find the prime factorization of 21677 and 21694. After we will calculate the factors of 21677 and 21694 and find the biggest common factor number .

Step-1: Prime Factorization of 21677

Prime factors of 21677 are 53, 409. Prime factorization of 21677 in exponential form is:

21677 = 53¹ × 409¹

Step-2: Prime Factorization of 21694

Prime factors of 21694 are 2, 10847. Prime factorization of 21694 in exponential form is:

21694 = 2¹ × 10847¹

Step-3: Factors of 21677

List of positive integer factors of 21677 that divides 21677 without a remainder.

1, 53, 409

Step-4: Factors of 21694

List of positive integer factors of 21694 that divides 21677 without a remainder.

1, 2, 10847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21677 and 21694. The biggest common factor number is the GCF number.
So the greatest common factor 21677 and 21694 is 1.

Also check out the Least Common Multiple of 21677 and 21694