What is the Greatest Common Factor of 4641 and 4656?

Greatest common factor (GCF) of 4641 and 4656 is 3.

GCF(4641,4656) = 3

We will now calculate the prime factors of 4641 and 4656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4641 and 4656.

How to find the GCF of 4641 and 4656?

We will first find the prime factorization of 4641 and 4656. After we will calculate the factors of 4641 and 4656 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 4656

Prime factors of 4656 are 2, 3, 97. Prime factorization of 4656 in exponential form is:

4656 = 2⁴ × 3¹ × 97¹

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 4656

List of positive integer factors of 4656 that divides 4641 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4641 and 4656. The biggest common factor number is the GCF number.
So the greatest common factor 4641 and 4656 is 3.

Also check out the Least Common Multiple of 4641 and 4656