What is the Greatest Common Factor of 8364 and 8378?

Greatest common factor (GCF) of 8364 and 8378 is 2.

GCF(8364,8378) = 2

We will now calculate the prime factors of 8364 and 8378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8364 and 8378.

How to find the GCF of 8364 and 8378?

We will first find the prime factorization of 8364 and 8378. After we will calculate the factors of 8364 and 8378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8378

Prime factors of 8378 are 2, 59, 71. Prime factorization of 8378 in exponential form is:

8378 = 2¹ × 59¹ × 71¹

Step-3: Factors of 8364

List of positive integer factors of 8364 that divides 8364 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

Step-4: Factors of 8378

List of positive integer factors of 8378 that divides 8364 without a remainder.

1, 2, 59, 71, 118, 142, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8364 and 8378. The biggest common factor number is the GCF number.
So the greatest common factor 8364 and 8378 is 2.

Also check out the Least Common Multiple of 8364 and 8378