What is the Greatest Common Factor of 7656 and 7669?

Greatest common factor (GCF) of 7656 and 7669 is 1.

GCF(7656,7669) = 1

We will now calculate the prime factors of 7656 and 7669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7656 and 7669.

How to find the GCF of 7656 and 7669?

We will first find the prime factorization of 7656 and 7669. After we will calculate the factors of 7656 and 7669 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 7669

Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:

7669 = 7669¹

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 7669

List of positive integer factors of 7669 that divides 7656 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7656 and 7669. The biggest common factor number is the GCF number.
So the greatest common factor 7656 and 7669 is 1.

Also check out the Least Common Multiple of 7656 and 7669