What is the Greatest Common Factor of 12921 and 12937?

Greatest common factor (GCF) of 12921 and 12937 is 1.

GCF(12921,12937) = 1

We will now calculate the prime factors of 12921 and 12937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12921 and 12937.

How to find the GCF of 12921 and 12937?

We will first find the prime factorization of 12921 and 12937. After we will calculate the factors of 12921 and 12937 and find the biggest common factor number .

Step-1: Prime Factorization of 12921

Prime factors of 12921 are 3, 59, 73. Prime factorization of 12921 in exponential form is:

12921 = 3¹ × 59¹ × 73¹

Step-2: Prime Factorization of 12937

Prime factors of 12937 are 17, 761. Prime factorization of 12937 in exponential form is:

12937 = 17¹ × 761¹

Step-3: Factors of 12921

List of positive integer factors of 12921 that divides 12921 without a remainder.

1, 3, 59, 73, 177, 219, 4307

Step-4: Factors of 12937

List of positive integer factors of 12937 that divides 12921 without a remainder.

1, 17, 761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12921 and 12937. The biggest common factor number is the GCF number.
So the greatest common factor 12921 and 12937 is 1.

Also check out the Least Common Multiple of 12921 and 12937