What is the Greatest Common Factor of 7764 and 7772?

Greatest common factor (GCF) of 7764 and 7772 is 4.

GCF(7764,7772) = 4

We will now calculate the prime factors of 7764 and 7772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7764 and 7772.

How to find the GCF of 7764 and 7772?

We will first find the prime factorization of 7764 and 7772. After we will calculate the factors of 7764 and 7772 and find the biggest common factor number .

Step-1: Prime Factorization of 7764

Prime factors of 7764 are 2, 3, 647. Prime factorization of 7764 in exponential form is:

7764 = 2² × 3¹ × 647¹

Step-2: Prime Factorization of 7772

Prime factors of 7772 are 2, 29, 67. Prime factorization of 7772 in exponential form is:

7772 = 2² × 29¹ × 67¹

Step-3: Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882

Step-4: Factors of 7772

List of positive integer factors of 7772 that divides 7764 without a remainder.

1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7764 and 7772. The biggest common factor number is the GCF number.
So the greatest common factor 7764 and 7772 is 4.

Also check out the Least Common Multiple of 7764 and 7772