What is the Greatest Common Factor of 8764 and 8771?

Greatest common factor (GCF) of 8764 and 8771 is 7.

GCF(8764,8771) = 7

We will now calculate the prime factors of 8764 and 8771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8764 and 8771.

How to find the GCF of 8764 and 8771?

We will first find the prime factorization of 8764 and 8771. After we will calculate the factors of 8764 and 8771 and find the biggest common factor number .

Step-1: Prime Factorization of 8764

Prime factors of 8764 are 2, 7, 313. Prime factorization of 8764 in exponential form is:

8764 = 2² × 7¹ × 313¹

Step-2: Prime Factorization of 8771

Prime factors of 8771 are 7, 179. Prime factorization of 8771 in exponential form is:

8771 = 7² × 179¹

Step-3: Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382

Step-4: Factors of 8771

List of positive integer factors of 8771 that divides 8764 without a remainder.

1, 7, 49, 179, 1253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8764 and 8771. The biggest common factor number is the GCF number.
So the greatest common factor 8764 and 8771 is 7.

Also check out the Least Common Multiple of 8764 and 8771