What is the Greatest Common Factor of 7774 and 7789?

Greatest common factor (GCF) of 7774 and 7789 is 1.

GCF(7774,7789) = 1

We will now calculate the prime factors of 7774 and 7789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7774 and 7789.

How to find the GCF of 7774 and 7789?

We will first find the prime factorization of 7774 and 7789. After we will calculate the factors of 7774 and 7789 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 7789

Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:

7789 = 7789¹

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 7789

List of positive integer factors of 7789 that divides 7774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7774 and 7789. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7789 is 1.

Also check out the Least Common Multiple of 7774 and 7789