What is the Greatest Common Factor of 21537 and 21556?

Greatest common factor (GCF) of 21537 and 21556 is 1.

GCF(21537,21556) = 1

We will now calculate the prime factors of 21537 and 21556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21537 and 21556.

How to find the GCF of 21537 and 21556?

We will first find the prime factorization of 21537 and 21556. After we will calculate the factors of 21537 and 21556 and find the biggest common factor number .

Step-1: Prime Factorization of 21537

Prime factors of 21537 are 3, 2393. Prime factorization of 21537 in exponential form is:

21537 = 3² × 2393¹

Step-2: Prime Factorization of 21556

Prime factors of 21556 are 2, 17, 317. Prime factorization of 21556 in exponential form is:

21556 = 2² × 17¹ × 317¹

Step-3: Factors of 21537

List of positive integer factors of 21537 that divides 21537 without a remainder.

1, 3, 9, 2393, 7179

Step-4: Factors of 21556

List of positive integer factors of 21556 that divides 21537 without a remainder.

1, 2, 4, 17, 34, 68, 317, 634, 1268, 5389, 10778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21537 and 21556. The biggest common factor number is the GCF number.
So the greatest common factor 21537 and 21556 is 1.

Also check out the Least Common Multiple of 21537 and 21556