What is the Greatest Common Factor of 4251 and 4257?

Greatest common factor (GCF) of 4251 and 4257 is 3.

GCF(4251,4257) = 3

We will now calculate the prime factors of 4251 and 4257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4251 and 4257.

How to find the GCF of 4251 and 4257?

We will first find the prime factorization of 4251 and 4257. After we will calculate the factors of 4251 and 4257 and find the biggest common factor number .

Step-1: Prime Factorization of 4251

Prime factors of 4251 are 3, 13, 109. Prime factorization of 4251 in exponential form is:

4251 = 3¹ × 13¹ × 109¹

Step-2: Prime Factorization of 4257

Prime factors of 4257 are 3, 11, 43. Prime factorization of 4257 in exponential form is:

4257 = 3² × 11¹ × 43¹

Step-3: Factors of 4251

List of positive integer factors of 4251 that divides 4251 without a remainder.

1, 3, 13, 39, 109, 327, 1417

Step-4: Factors of 4257

List of positive integer factors of 4257 that divides 4251 without a remainder.

1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4251 and 4257. The biggest common factor number is the GCF number.
So the greatest common factor 4251 and 4257 is 3.

Also check out the Least Common Multiple of 4251 and 4257