What is the Greatest Common Factor of 8774 and 8791?

Greatest common factor (GCF) of 8774 and 8791 is 1.

GCF(8774,8791) = 1

We will now calculate the prime factors of 8774 and 8791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8774 and 8791.

How to find the GCF of 8774 and 8791?

We will first find the prime factorization of 8774 and 8791. After we will calculate the factors of 8774 and 8791 and find the biggest common factor number .

Step-1: Prime Factorization of 8774

Prime factors of 8774 are 2, 41, 107. Prime factorization of 8774 in exponential form is:

8774 = 2¹ × 41¹ × 107¹

Step-2: Prime Factorization of 8791

Prime factors of 8791 are 59, 149. Prime factorization of 8791 in exponential form is:

8791 = 59¹ × 149¹

Step-3: Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1, 2, 41, 82, 107, 214, 4387

Step-4: Factors of 8791

List of positive integer factors of 8791 that divides 8774 without a remainder.

1, 59, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8774 and 8791. The biggest common factor number is the GCF number.
So the greatest common factor 8774 and 8791 is 1.

Also check out the Least Common Multiple of 8774 and 8791