What is the Greatest Common Factor of 4657 and 4664?

Greatest common factor (GCF) of 4657 and 4664 is 1.

GCF(4657,4664) = 1

We will now calculate the prime factors of 4657 and 4664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4657 and 4664.

How to find the GCF of 4657 and 4664?

We will first find the prime factorization of 4657 and 4664. After we will calculate the factors of 4657 and 4664 and find the biggest common factor number .

Step-1: Prime Factorization of 4657

Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:

4657 = 4657¹

Step-2: Prime Factorization of 4664

Prime factors of 4664 are 2, 11, 53. Prime factorization of 4664 in exponential form is:

4664 = 2³ × 11¹ × 53¹

Step-3: Factors of 4657

List of positive integer factors of 4657 that divides 4657 without a remainder.

Step-4: Factors of 4664

List of positive integer factors of 4664 that divides 4657 without a remainder.

1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4657 and 4664. The biggest common factor number is the GCF number.
So the greatest common factor 4657 and 4664 is 1.

Also check out the Least Common Multiple of 4657 and 4664