What is the Greatest Common Factor of 8767 and 8774?

Greatest common factor (GCF) of 8767 and 8774 is 1.

GCF(8767,8774) = 1

We will now calculate the prime factors of 8767 and 8774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8767 and 8774.

How to find the GCF of 8767 and 8774?

We will first find the prime factorization of 8767 and 8774. After we will calculate the factors of 8767 and 8774 and find the biggest common factor number .

Step-1: Prime Factorization of 8767

Prime factors of 8767 are 11, 797. Prime factorization of 8767 in exponential form is:

8767 = 11¹ × 797¹

Step-2: 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-3: Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1, 11, 797

Step-4: Factors of 8774

List of positive integer factors of 8774 that divides 8767 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8767 and 8774. The biggest common factor number is the GCF number.
So the greatest common factor 8767 and 8774 is 1.

Also check out the Least Common Multiple of 8767 and 8774