What is the Greatest Common Factor of 84254 and 84272?

Greatest common factor (GCF) of 84254 and 84272 is 2.

GCF(84254,84272) = 2

We will now calculate the prime factors of 84254 and 84272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84254 and 84272.

How to find the GCF of 84254 and 84272?

We will first find the prime factorization of 84254 and 84272. After we will calculate the factors of 84254 and 84272 and find the biggest common factor number .

Step-1: Prime Factorization of 84254

Prime factors of 84254 are 2, 103, 409. Prime factorization of 84254 in exponential form is:

84254 = 2¹ × 103¹ × 409¹

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 84254

List of positive integer factors of 84254 that divides 84254 without a remainder.

1, 2, 103, 206, 409, 818, 42127

Step-4: Factors of 84272

List of positive integer factors of 84272 that divides 84254 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 84254 and 84272. The biggest common factor number is the GCF number.
So the greatest common factor 84254 and 84272 is 2.

Also check out the Least Common Multiple of 84254 and 84272