What is the Greatest Common Factor of 6374 and 6384?

Greatest common factor (GCF) of 6374 and 6384 is 2.

GCF(6374,6384) = 2

We will now calculate the prime factors of 6374 and 6384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6374 and 6384.

How to find the GCF of 6374 and 6384?

We will first find the prime factorization of 6374 and 6384. After we will calculate the factors of 6374 and 6384 and find the biggest common factor number .

Step-1: Prime Factorization of 6374

Prime factors of 6374 are 2, 3187. Prime factorization of 6374 in exponential form is:

6374 = 2¹ × 3187¹

Step-2: Prime Factorization of 6384

Prime factors of 6384 are 2, 3, 7, 19. Prime factorization of 6384 in exponential form is:

6384 = 2⁴ × 3¹ × 7¹ × 19¹

Step-3: Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1, 2, 3187

Step-4: Factors of 6384

List of positive integer factors of 6384 that divides 6374 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6374 and 6384. The biggest common factor number is the GCF number.
So the greatest common factor 6374 and 6384 is 2.

Also check out the Least Common Multiple of 6374 and 6384