What is the Greatest Common Factor of 7774 and 7780?

Greatest common factor (GCF) of 7774 and 7780 is 2.

GCF(7774,7780) = 2

We will now calculate the prime factors of 7774 and 7780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7774 and 7780.

How to find the GCF of 7774 and 7780?

We will first find the prime factorization of 7774 and 7780. After we will calculate the factors of 7774 and 7780 and find the biggest common factor number .

Step-1: 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-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 7774

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

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

Step-4: Factors of 7780

List of positive integer factors of 7780 that divides 7774 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 7774 and 7780. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7780 is 2.

Also check out the Least Common Multiple of 7774 and 7780