What is the Greatest Common Factor of 84264 and 84272?

Greatest common factor (GCF) of 84264 and 84272 is 8.

GCF(84264,84272) = 8

We will now calculate the prime factors of 84264 and 84272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84264 and 84272.

How to find the GCF of 84264 and 84272?

We will first find the prime factorization of 84264 and 84272. After we will calculate the factors of 84264 and 84272 and find the biggest common factor number .

Step-1: Prime Factorization of 84264

Prime factors of 84264 are 2, 3, 3511. Prime factorization of 84264 in exponential form is:

84264 = 2³ × 3¹ × 3511¹

Step-2: Prime Factorization of 84272

Prime factors of 84272 are 2, 23, 229. Prime factorization of 84272 in exponential form is:

84272 = 2⁴ × 23¹ × 229¹

Step-3: Factors of 84264

List of positive integer factors of 84264 that divides 84264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3511, 7022, 10533, 14044, 21066, 28088, 42132

Step-4: Factors of 84272

List of positive integer factors of 84272 that divides 84264 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 229, 368, 458, 916, 1832, 3664, 5267, 10534, 21068, 42136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84264 and 84272. The biggest common factor number is the GCF number.
So the greatest common factor 84264 and 84272 is 8.

Also check out the Least Common Multiple of 84264 and 84272