What is the Greatest Common Factor of 84272 and 84283?

Greatest common factor (GCF) of 84272 and 84283 is 1.

GCF(84272,84283) = 1

We will now calculate the prime factors of 84272 and 84283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84272 and 84283.

How to find the GCF of 84272 and 84283?

We will first find the prime factorization of 84272 and 84283. After we will calculate the factors of 84272 and 84283 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84283

Prime factors of 84283 are 89, 947. Prime factorization of 84283 in exponential form is:

84283 = 89¹ × 947¹

Step-3: Factors of 84272

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

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

Step-4: Factors of 84283

List of positive integer factors of 84283 that divides 84272 without a remainder.

1, 89, 947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84272 and 84283. The biggest common factor number is the GCF number.
So the greatest common factor 84272 and 84283 is 1.

Also check out the Least Common Multiple of 84272 and 84283