What is the Greatest Common Factor of 83109 and 83124?

Greatest common factor (GCF) of 83109 and 83124 is 3.

GCF(83109,83124) = 3

We will now calculate the prime factors of 83109 and 83124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83109 and 83124.

How to find the GCF of 83109 and 83124?

We will first find the prime factorization of 83109 and 83124. After we will calculate the factors of 83109 and 83124 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 83124

Prime factors of 83124 are 2, 3, 2309. Prime factorization of 83124 in exponential form is:

83124 = 2² × 3² × 2309¹

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 83124

List of positive integer factors of 83124 that divides 83109 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2309, 4618, 6927, 9236, 13854, 20781, 27708, 41562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83109 and 83124. The biggest common factor number is the GCF number.
So the greatest common factor 83109 and 83124 is 3.

Also check out the Least Common Multiple of 83109 and 83124