What is the Greatest Common Factor of 4657 and 4675?

Greatest common factor (GCF) of 4657 and 4675 is 1.

GCF(4657,4675) = 1

We will now calculate the prime factors of 4657 and 4675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4657 and 4675.

How to find the GCF of 4657 and 4675?

We will first find the prime factorization of 4657 and 4675. After we will calculate the factors of 4657 and 4675 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 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 5² × 11¹ × 17¹

Step-3: Factors of 4657

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

Step-4: Factors of 4675

List of positive integer factors of 4675 that divides 4657 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4657 and 4675. The biggest common factor number is the GCF number.
So the greatest common factor 4657 and 4675 is 1.

Also check out the Least Common Multiple of 4657 and 4675