What is the Greatest Common Factor of 8294 and 8301?

Greatest common factor (GCF) of 8294 and 8301 is 1.

GCF(8294,8301) = 1

We will now calculate the prime factors of 8294 and 8301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8294 and 8301.

How to find the GCF of 8294 and 8301?

We will first find the prime factorization of 8294 and 8301. After we will calculate the factors of 8294 and 8301 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8301

Prime factors of 8301 are 3, 2767. Prime factorization of 8301 in exponential form is:

8301 = 3¹ × 2767¹

Step-3: Factors of 8294

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

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

Step-4: Factors of 8301

List of positive integer factors of 8301 that divides 8294 without a remainder.

1, 3, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8294 and 8301. The biggest common factor number is the GCF number.
So the greatest common factor 8294 and 8301 is 1.

Also check out the Least Common Multiple of 8294 and 8301