What is the Greatest Common Factor of 84372 and 84384?

Greatest common factor (GCF) of 84372 and 84384 is 12.

GCF(84372,84384) = 12

We will now calculate the prime factors of 84372 and 84384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84372 and 84384.

How to find the GCF of 84372 and 84384?

We will first find the prime factorization of 84372 and 84384. After we will calculate the factors of 84372 and 84384 and find the biggest common factor number .

Step-1: Prime Factorization of 84372

Prime factors of 84372 are 2, 3, 79, 89. Prime factorization of 84372 in exponential form is:

84372 = 2² × 3¹ × 79¹ × 89¹

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 84372

List of positive integer factors of 84372 that divides 84372 without a remainder.

1, 2, 3, 4, 6, 12, 79, 89, 158, 178, 237, 267, 316, 356, 474, 534, 948, 1068, 7031, 14062, 21093, 28124, 42186

Step-4: Factors of 84384

List of positive integer factors of 84384 that divides 84372 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 84372 and 84384. The biggest common factor number is the GCF number.
So the greatest common factor 84372 and 84384 is 12.

Also check out the Least Common Multiple of 84372 and 84384