What is the Greatest Common Factor of 83096 and 83109?

Greatest common factor (GCF) of 83096 and 83109 is 13.

GCF(83096,83109) = 13

We will now calculate the prime factors of 83096 and 83109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83096 and 83109.

How to find the GCF of 83096 and 83109?

We will first find the prime factorization of 83096 and 83109. After we will calculate the factors of 83096 and 83109 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 83109

Prime factors of 83109 are 3, 13, 2131. Prime factorization of 83109 in exponential form is:

83109 = 3¹ × 13¹ × 2131¹

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 83109

List of positive integer factors of 83109 that divides 83096 without a remainder.

1, 3, 13, 39, 2131, 6393, 27703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83096 and 83109. The biggest common factor number is the GCF number.
So the greatest common factor 83096 and 83109 is 13.

Also check out the Least Common Multiple of 83096 and 83109