What is the Greatest Common Factor of 8277 and 8294?

Greatest common factor (GCF) of 8277 and 8294 is 1.

GCF(8277,8294) = 1

We will now calculate the prime factors of 8277 and 8294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8277 and 8294.

How to find the GCF of 8277 and 8294?

We will first find the prime factorization of 8277 and 8294. After we will calculate the factors of 8277 and 8294 and find the biggest common factor number .

Step-1: Prime Factorization of 8277

Prime factors of 8277 are 3, 31, 89. Prime factorization of 8277 in exponential form is:

8277 = 3¹ × 31¹ × 89¹

Step-2: Prime Factorization of 8294

Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:

8294 = 2¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1, 3, 31, 89, 93, 267, 2759

Step-4: Factors of 8294

List of positive integer factors of 8294 that divides 8277 without a remainder.

1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8277 and 8294. The biggest common factor number is the GCF number.
So the greatest common factor 8277 and 8294 is 1.

Also check out the Least Common Multiple of 8277 and 8294