What is the Greatest Common Factor of 21217 and 21237?

Greatest common factor (GCF) of 21217 and 21237 is 1.

GCF(21217,21237) = 1

We will now calculate the prime factors of 21217 and 21237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21217 and 21237.

How to find the GCF of 21217 and 21237?

We will first find the prime factorization of 21217 and 21237. After we will calculate the factors of 21217 and 21237 and find the biggest common factor number .

Step-1: Prime Factorization of 21217

Prime factors of 21217 are 7, 433. Prime factorization of 21217 in exponential form is:

21217 = 7² × 433¹

Step-2: Prime Factorization of 21237

Prime factors of 21237 are 3, 7079. Prime factorization of 21237 in exponential form is:

21237 = 3¹ × 7079¹

Step-3: Factors of 21217

List of positive integer factors of 21217 that divides 21217 without a remainder.

1, 7, 49, 433, 3031

Step-4: Factors of 21237

List of positive integer factors of 21237 that divides 21217 without a remainder.

1, 3, 7079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21217 and 21237. The biggest common factor number is the GCF number.
So the greatest common factor 21217 and 21237 is 1.

Also check out the Least Common Multiple of 21217 and 21237