What is the Greatest Common Factor of 51228 and 51237?

Greatest common factor (GCF) of 51228 and 51237 is 9.

GCF(51228,51237) = 9

We will now calculate the prime factors of 51228 and 51237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51228 and 51237.

How to find the GCF of 51228 and 51237?

We will first find the prime factorization of 51228 and 51237. After we will calculate the factors of 51228 and 51237 and find the biggest common factor number .

Step-1: Prime Factorization of 51228

Prime factors of 51228 are 2, 3, 1423. Prime factorization of 51228 in exponential form is:

51228 = 2² × 3² × 1423¹

Step-2: Prime Factorization of 51237

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

51237 = 3² × 5693¹

Step-3: Factors of 51228

List of positive integer factors of 51228 that divides 51228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1423, 2846, 4269, 5692, 8538, 12807, 17076, 25614

Step-4: Factors of 51237

List of positive integer factors of 51237 that divides 51228 without a remainder.

1, 3, 9, 5693, 17079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51228 and 51237. The biggest common factor number is the GCF number.
So the greatest common factor 51228 and 51237 is 9.

Also check out the Least Common Multiple of 51228 and 51237