What is the Greatest Common Factor of 8344 and 8364?

Greatest common factor (GCF) of 8344 and 8364 is 4.

GCF(8344,8364) = 4

We will now calculate the prime factors of 8344 and 8364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8344 and 8364.

How to find the GCF of 8344 and 8364?

We will first find the prime factorization of 8344 and 8364. After we will calculate the factors of 8344 and 8364 and find the biggest common factor number .

Step-1: Prime Factorization of 8344

Prime factors of 8344 are 2, 7, 149. Prime factorization of 8344 in exponential form is:

8344 = 2³ × 7¹ × 149¹

Step-2: Prime Factorization of 8364

Prime factors of 8364 are 2, 3, 17, 41. Prime factorization of 8364 in exponential form is:

8364 = 2² × 3¹ × 17¹ × 41¹

Step-3: Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172

Step-4: Factors of 8364

List of positive integer factors of 8364 that divides 8344 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8344 and 8364. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8364 is 4.

Also check out the Least Common Multiple of 8344 and 8364