What is the Greatest Common Factor of 7764 and 7770?

Greatest common factor (GCF) of 7764 and 7770 is 6.

GCF(7764,7770) = 6

We will now calculate the prime factors of 7764 and 7770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7764 and 7770.

How to find the GCF of 7764 and 7770?

We will first find the prime factorization of 7764 and 7770. After we will calculate the factors of 7764 and 7770 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 7770

Prime factors of 7770 are 2, 3, 5, 7, 37. Prime factorization of 7770 in exponential form is:

7770 = 2¹ × 3¹ × 5¹ × 7¹ × 37¹

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 7770

List of positive integer factors of 7770 that divides 7764 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7764 and 7770. The biggest common factor number is the GCF number.
So the greatest common factor 7764 and 7770 is 6.

Also check out the Least Common Multiple of 7764 and 7770