What is the Greatest Common Factor of 21677 and 21697?

Greatest common factor (GCF) of 21677 and 21697 is 1.

GCF(21677,21697) = 1

We will now calculate the prime factors of 21677 and 21697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21677 and 21697.

How to find the GCF of 21677 and 21697?

We will first find the prime factorization of 21677 and 21697. After we will calculate the factors of 21677 and 21697 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 21697

Prime factors of 21697 are 13, 1669. Prime factorization of 21697 in exponential form is:

21697 = 13¹ × 1669¹

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 21697

List of positive integer factors of 21697 that divides 21677 without a remainder.

1, 13, 1669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21677 and 21697. The biggest common factor number is the GCF number.
So the greatest common factor 21677 and 21697 is 1.

Also check out the Least Common Multiple of 21677 and 21697