What is the Greatest Common Factor of 84384 and 84404?

Greatest common factor (GCF) of 84384 and 84404 is 4.

GCF(84384,84404) = 4

We will now calculate the prime factors of 84384 and 84404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84384 and 84404.

How to find the GCF of 84384 and 84404?

We will first find the prime factorization of 84384 and 84404. After we will calculate the factors of 84384 and 84404 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 84404

Prime factors of 84404 are 2, 21101. Prime factorization of 84404 in exponential form is:

84404 = 2² × 21101¹

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 84404

List of positive integer factors of 84404 that divides 84384 without a remainder.

1, 2, 4, 21101, 42202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84384 and 84404. The biggest common factor number is the GCF number.
So the greatest common factor 84384 and 84404 is 4.

Also check out the Least Common Multiple of 84384 and 84404