What is the Greatest Common Factor of 4257 and 4268?

Greatest common factor (GCF) of 4257 and 4268 is 11.

GCF(4257,4268) = 11

We will now calculate the prime factors of 4257 and 4268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4257 and 4268.

How to find the GCF of 4257 and 4268?

We will first find the prime factorization of 4257 and 4268. After we will calculate the factors of 4257 and 4268 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4268

Prime factors of 4268 are 2, 11, 97. Prime factorization of 4268 in exponential form is:

4268 = 2² × 11¹ × 97¹

Step-3: Factors of 4257

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

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

Step-4: Factors of 4268

List of positive integer factors of 4268 that divides 4257 without a remainder.

1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4257 and 4268. The biggest common factor number is the GCF number.
So the greatest common factor 4257 and 4268 is 11.

Also check out the Least Common Multiple of 4257 and 4268