What is the Greatest Common Factor of 7756 and 7770?

Greatest common factor (GCF) of 7756 and 7770 is 14.

GCF(7756,7770) = 14

We will now calculate the prime factors of 7756 and 7770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7756 and 7770.

How to find the GCF of 7756 and 7770?

We will first find the prime factorization of 7756 and 7770. After we will calculate the factors of 7756 and 7770 and find the biggest common factor number .

Step-1: Prime Factorization of 7756

Prime factors of 7756 are 2, 7, 277. Prime factorization of 7756 in exponential form is:

7756 = 2² × 7¹ × 277¹

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 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878

Step-4: Factors of 7770

List of positive integer factors of 7770 that divides 7756 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 7756 and 7770. The biggest common factor number is the GCF number.
So the greatest common factor 7756 and 7770 is 14.

Also check out the Least Common Multiple of 7756 and 7770