What is the Greatest Common Factor of 7656 and 7667?

Greatest common factor (GCF) of 7656 and 7667 is 11.

GCF(7656,7667) = 11

We will now calculate the prime factors of 7656 and 7667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7656 and 7667.

How to find the GCF of 7656 and 7667?

We will first find the prime factorization of 7656 and 7667. After we will calculate the factors of 7656 and 7667 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 7667

Prime factors of 7667 are 11, 17, 41. Prime factorization of 7667 in exponential form is:

7667 = 11¹ × 17¹ × 41¹

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 7667

List of positive integer factors of 7667 that divides 7656 without a remainder.

1, 11, 17, 41, 187, 451, 697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7656 and 7667. The biggest common factor number is the GCF number.
So the greatest common factor 7656 and 7667 is 11.

Also check out the Least Common Multiple of 7656 and 7667