What is the Greatest Common Factor of 13237 and 13251?

Greatest common factor (GCF) of 13237 and 13251 is 7.

GCF(13237,13251) = 7

We will now calculate the prime factors of 13237 and 13251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13237 and 13251.

How to find the GCF of 13237 and 13251?

We will first find the prime factorization of 13237 and 13251. After we will calculate the factors of 13237 and 13251 and find the biggest common factor number .

Step-1: Prime Factorization of 13237

Prime factors of 13237 are 7, 31, 61. Prime factorization of 13237 in exponential form is:

13237 = 7¹ × 31¹ × 61¹

Step-2: Prime Factorization of 13251

Prime factors of 13251 are 3, 7, 631. Prime factorization of 13251 in exponential form is:

13251 = 3¹ × 7¹ × 631¹

Step-3: Factors of 13237

List of positive integer factors of 13237 that divides 13237 without a remainder.

1, 7, 31, 61, 217, 427, 1891

Step-4: Factors of 13251

List of positive integer factors of 13251 that divides 13237 without a remainder.

1, 3, 7, 21, 631, 1893, 4417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13237 and 13251. The biggest common factor number is the GCF number.
So the greatest common factor 13237 and 13251 is 7.

Also check out the Least Common Multiple of 13237 and 13251