What is the Greatest Common Factor of 83109 and 83117?

Greatest common factor (GCF) of 83109 and 83117 is 1.

GCF(83109,83117) = 1

We will now calculate the prime factors of 83109 and 83117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83109 and 83117.

How to find the GCF of 83109 and 83117?

We will first find the prime factorization of 83109 and 83117. After we will calculate the factors of 83109 and 83117 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83117

Prime factors of 83117 are 83117. Prime factorization of 83117 in exponential form is:

83117 = 83117¹

Step-3: Factors of 83109

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

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

Step-4: Factors of 83117

List of positive integer factors of 83117 that divides 83109 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83109 and 83117. The biggest common factor number is the GCF number.
So the greatest common factor 83109 and 83117 is 1.

Also check out the Least Common Multiple of 83109 and 83117