What is the Greatest Common Factor of 7656 and 7674?

Greatest common factor (GCF) of 7656 and 7674 is 6.

GCF(7656,7674) = 6

We will now calculate the prime factors of 7656 and 7674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7656 and 7674.

How to find the GCF of 7656 and 7674?

We will first find the prime factorization of 7656 and 7674. After we will calculate the factors of 7656 and 7674 and find the biggest common factor number .

Step-1: Prime Factorization of 7656

Prime factors of 7656 are 2, 3, 11, 29. Prime factorization of 7656 in exponential form is:

7656 = 2³ × 3¹ × 11¹ × 29¹

Step-2: Prime Factorization of 7674

Prime factors of 7674 are 2, 3, 1279. Prime factorization of 7674 in exponential form is:

7674 = 2¹ × 3¹ × 1279¹

Step-3: Factors of 7656

List of positive integer factors of 7656 that divides 7656 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828

Step-4: Factors of 7674

List of positive integer factors of 7674 that divides 7656 without a remainder.

1, 2, 3, 6, 1279, 2558, 3837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7656 and 7674. The biggest common factor number is the GCF number.
So the greatest common factor 7656 and 7674 is 6.

Also check out the Least Common Multiple of 7656 and 7674