What is the Greatest Common Factor of 51237 and 51249?

Greatest common factor (GCF) of 51237 and 51249 is 3.

GCF(51237,51249) = 3

We will now calculate the prime factors of 51237 and 51249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51237 and 51249.

How to find the GCF of 51237 and 51249?

We will first find the prime factorization of 51237 and 51249. After we will calculate the factors of 51237 and 51249 and find the biggest common factor number .

Step-1: Prime Factorization of 51237

Prime factors of 51237 are 3, 5693. Prime factorization of 51237 in exponential form is:

51237 = 3² × 5693¹

Step-2: Prime Factorization of 51249

Prime factors of 51249 are 3, 11, 1553. Prime factorization of 51249 in exponential form is:

51249 = 3¹ × 11¹ × 1553¹

Step-3: Factors of 51237

List of positive integer factors of 51237 that divides 51237 without a remainder.

1, 3, 9, 5693, 17079

Step-4: Factors of 51249

List of positive integer factors of 51249 that divides 51237 without a remainder.

1, 3, 11, 33, 1553, 4659, 17083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51237 and 51249. The biggest common factor number is the GCF number.
So the greatest common factor 51237 and 51249 is 3.

Also check out the Least Common Multiple of 51237 and 51249