What is the Greatest Common Factor of 4656 and 4674?

Greatest common factor (GCF) of 4656 and 4674 is 6.

GCF(4656,4674) = 6

We will now calculate the prime factors of 4656 and 4674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4656 and 4674.

How to find the GCF of 4656 and 4674?

We will first find the prime factorization of 4656 and 4674. After we will calculate the factors of 4656 and 4674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4674

Prime factors of 4674 are 2, 3, 19, 41. Prime factorization of 4674 in exponential form is:

4674 = 2¹ × 3¹ × 19¹ × 41¹

Step-3: Factors of 4656

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

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

Step-4: Factors of 4674

List of positive integer factors of 4674 that divides 4656 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4656 and 4674. The biggest common factor number is the GCF number.
So the greatest common factor 4656 and 4674 is 6.

Also check out the Least Common Multiple of 4656 and 4674