What is the Greatest Common Factor of 83096 and 83113?

Greatest common factor (GCF) of 83096 and 83113 is 17.

GCF(83096,83113) = 17

We will now calculate the prime factors of 83096 and 83113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83096 and 83113.

How to find the GCF of 83096 and 83113?

We will first find the prime factorization of 83096 and 83113. After we will calculate the factors of 83096 and 83113 and find the biggest common factor number .

Step-1: Prime Factorization of 83096

Prime factors of 83096 are 2, 13, 17, 47. Prime factorization of 83096 in exponential form is:

83096 = 2³ × 13¹ × 17¹ × 47¹

Step-2: Prime Factorization of 83113

Prime factors of 83113 are 17, 4889. Prime factorization of 83113 in exponential form is:

83113 = 17¹ × 4889¹

Step-3: Factors of 83096

List of positive integer factors of 83096 that divides 83096 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 47, 52, 68, 94, 104, 136, 188, 221, 376, 442, 611, 799, 884, 1222, 1598, 1768, 2444, 3196, 4888, 6392, 10387, 20774, 41548

Step-4: Factors of 83113

List of positive integer factors of 83113 that divides 83096 without a remainder.

1, 17, 4889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83096 and 83113. The biggest common factor number is the GCF number.
So the greatest common factor 83096 and 83113 is 17.

Also check out the Least Common Multiple of 83096 and 83113