What is the Greatest Common Factor of 7770 and 7774?

Greatest common factor (GCF) of 7770 and 7774 is 2.

GCF(7770,7774) = 2

We will now calculate the prime factors of 7770 and 7774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7770 and 7774.

How to find the GCF of 7770 and 7774?

We will first find the prime factorization of 7770 and 7774. After we will calculate the factors of 7770 and 7774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7774

Prime factors of 7774 are 2, 13, 23. Prime factorization of 7774 in exponential form is:

7774 = 2¹ × 13² × 23¹

Step-3: Factors of 7770

List of positive integer factors of 7770 that divides 7770 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

Step-4: Factors of 7774

List of positive integer factors of 7774 that divides 7770 without a remainder.

1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7770 and 7774. The biggest common factor number is the GCF number.
So the greatest common factor 7770 and 7774 is 2.

Also check out the Least Common Multiple of 7770 and 7774