What is the Greatest Common Factor of 4257 and 4264?

Greatest common factor (GCF) of 4257 and 4264 is 1.

GCF(4257,4264) = 1

We will now calculate the prime factors of 4257 and 4264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4257 and 4264.

How to find the GCF of 4257 and 4264?

We will first find the prime factorization of 4257 and 4264. After we will calculate the factors of 4257 and 4264 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 4264

Prime factors of 4264 are 2, 13, 41. Prime factorization of 4264 in exponential form is:

4264 = 2³ × 13¹ × 41¹

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 4264

List of positive integer factors of 4264 that divides 4257 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4257 and 4264. The biggest common factor number is the GCF number.
So the greatest common factor 4257 and 4264 is 1.

Also check out the Least Common Multiple of 4257 and 4264