What is the Greatest Common Factor of 84384 and 84388?

Greatest common factor (GCF) of 84384 and 84388 is 4.

GCF(84384,84388) = 4

We will now calculate the prime factors of 84384 and 84388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84384 and 84388.

How to find the GCF of 84384 and 84388?

We will first find the prime factorization of 84384 and 84388. After we will calculate the factors of 84384 and 84388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84388

Prime factors of 84388 are 2, 17, 73. Prime factorization of 84388 in exponential form is:

84388 = 2² × 17² × 73¹

Step-3: Factors of 84384

List of positive integer factors of 84384 that divides 84384 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

Step-4: Factors of 84388

List of positive integer factors of 84388 that divides 84384 without a remainder.

1, 2, 4, 17, 34, 68, 73, 146, 289, 292, 578, 1156, 1241, 2482, 4964, 21097, 42194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84384 and 84388. The biggest common factor number is the GCF number.
So the greatest common factor 84384 and 84388 is 4.

Also check out the Least Common Multiple of 84384 and 84388