What is the Greatest Common Factor of 7764 and 7780?

Greatest common factor (GCF) of 7764 and 7780 is 4.

GCF(7764,7780) = 4

We will now calculate the prime factors of 7764 and 7780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7764 and 7780.

How to find the GCF of 7764 and 7780?

We will first find the prime factorization of 7764 and 7780. After we will calculate the factors of 7764 and 7780 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 7780

Prime factors of 7780 are 2, 5, 389. Prime factorization of 7780 in exponential form is:

7780 = 2² × 5¹ × 389¹

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 7780

List of positive integer factors of 7780 that divides 7764 without a remainder.

1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7764 and 7780. The biggest common factor number is the GCF number.
So the greatest common factor 7764 and 7780 is 4.

Also check out the Least Common Multiple of 7764 and 7780