What is the Greatest Common Factor of 83254 and 83272?

Greatest common factor (GCF) of 83254 and 83272 is 2.

GCF(83254,83272) = 2

We will now calculate the prime factors of 83254 and 83272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83254 and 83272.

How to find the GCF of 83254 and 83272?

We will first find the prime factorization of 83254 and 83272. After we will calculate the factors of 83254 and 83272 and find the biggest common factor number .

Step-1: Prime Factorization of 83254

Prime factors of 83254 are 2, 41627. Prime factorization of 83254 in exponential form is:

83254 = 2¹ × 41627¹

Step-2: Prime Factorization of 83272

Prime factors of 83272 are 2, 7, 1487. Prime factorization of 83272 in exponential form is:

83272 = 2³ × 7¹ × 1487¹

Step-3: Factors of 83254

List of positive integer factors of 83254 that divides 83254 without a remainder.

1, 2, 41627

Step-4: Factors of 83272

List of positive integer factors of 83272 that divides 83254 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1487, 2974, 5948, 10409, 11896, 20818, 41636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83254 and 83272. The biggest common factor number is the GCF number.
So the greatest common factor 83254 and 83272 is 2.

Also check out the Least Common Multiple of 83254 and 83272