What is the Greatest Common Factor of 84374 and 84384?

Greatest common factor (GCF) of 84374 and 84384 is 2.

GCF(84374,84384) = 2

We will now calculate the prime factors of 84374 and 84384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84374 and 84384.

How to find the GCF of 84374 and 84384?

We will first find the prime factorization of 84374 and 84384. After we will calculate the factors of 84374 and 84384 and find the biggest common factor number .

Step-1: Prime Factorization of 84374

Prime factors of 84374 are 2, 42187. Prime factorization of 84374 in exponential form is:

84374 = 2¹ × 42187¹

Step-2: Prime Factorization of 84384

Prime factors of 84384 are 2, 3, 293. Prime factorization of 84384 in exponential form is:

84384 = 2⁵ × 3² × 293¹

Step-3: Factors of 84374

List of positive integer factors of 84374 that divides 84374 without a remainder.

1, 2, 42187

Step-4: Factors of 84384

List of positive integer factors of 84384 that divides 84374 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 4688, 5274, 7032, 9376, 10548, 14064, 21096, 28128, 42192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84374 and 84384. The biggest common factor number is the GCF number.
So the greatest common factor 84374 and 84384 is 2.

Also check out the Least Common Multiple of 84374 and 84384