What is the Greatest Common Factor of 7774 and 7791?

Greatest common factor (GCF) of 7774 and 7791 is 1.

GCF(7774,7791) = 1

We will now calculate the prime factors of 7774 and 7791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7774 and 7791.

How to find the GCF of 7774 and 7791?

We will first find the prime factorization of 7774 and 7791. After we will calculate the factors of 7774 and 7791 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 7791

Prime factors of 7791 are 3, 7, 53. Prime factorization of 7791 in exponential form is:

7791 = 3¹ × 7² × 53¹

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 7791

List of positive integer factors of 7791 that divides 7774 without a remainder.

1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7774 and 7791. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7791 is 1.

Also check out the Least Common Multiple of 7774 and 7791