What is the Greatest Common Factor of 4641 and 4657?

Greatest common factor (GCF) of 4641 and 4657 is 1.

GCF(4641,4657) = 1

We will now calculate the prime factors of 4641 and 4657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4641 and 4657.

How to find the GCF of 4641 and 4657?

We will first find the prime factorization of 4641 and 4657. After we will calculate the factors of 4641 and 4657 and find the biggest common factor number .

Step-1: Prime Factorization of 4641

Prime factors of 4641 are 3, 7, 13, 17. Prime factorization of 4641 in exponential form is:

4641 = 3¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 4657

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

4657 = 4657¹

Step-3: Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547

Step-4: Factors of 4657

List of positive integer factors of 4657 that divides 4641 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4641 and 4657. The biggest common factor number is the GCF number.
So the greatest common factor 4641 and 4657 is 1.

Also check out the Least Common Multiple of 4641 and 4657