What is the Greatest Common Factor of 4257 and 4277?

Greatest common factor (GCF) of 4257 and 4277 is 1.

GCF(4257,4277) = 1

We will now calculate the prime factors of 4257 and 4277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4257 and 4277.

How to find the GCF of 4257 and 4277?

We will first find the prime factorization of 4257 and 4277. After we will calculate the factors of 4257 and 4277 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 4277

Prime factors of 4277 are 7, 13, 47. Prime factorization of 4277 in exponential form is:

4277 = 7¹ × 13¹ × 47¹

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 4277

List of positive integer factors of 4277 that divides 4257 without a remainder.

1, 7, 13, 47, 91, 329, 611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4257 and 4277. The biggest common factor number is the GCF number.
So the greatest common factor 4257 and 4277 is 1.

Also check out the Least Common Multiple of 4257 and 4277