What is the Greatest Common Factor of 84272 and 84290?

Greatest common factor (GCF) of 84272 and 84290 is 2.

GCF(84272,84290) = 2

We will now calculate the prime factors of 84272 and 84290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84272 and 84290.

How to find the GCF of 84272 and 84290?

We will first find the prime factorization of 84272 and 84290. After we will calculate the factors of 84272 and 84290 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 84290

Prime factors of 84290 are 2, 5, 8429. Prime factorization of 84290 in exponential form is:

84290 = 2¹ × 5¹ × 8429¹

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 84290

List of positive integer factors of 84290 that divides 84272 without a remainder.

1, 2, 5, 10, 8429, 16858, 42145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84272 and 84290. The biggest common factor number is the GCF number.
So the greatest common factor 84272 and 84290 is 2.

Also check out the Least Common Multiple of 84272 and 84290