What is the Greatest Common Factor of 83139 and 83151?

Greatest common factor (GCF) of 83139 and 83151 is 3.

GCF(83139,83151) = 3

We will now calculate the prime factors of 83139 and 83151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83139 and 83151.

How to find the GCF of 83139 and 83151?

We will first find the prime factorization of 83139 and 83151. After we will calculate the factors of 83139 and 83151 and find the biggest common factor number .

Step-1: Prime Factorization of 83139

Prime factors of 83139 are 3, 7, 37, 107. Prime factorization of 83139 in exponential form is:

83139 = 3¹ × 7¹ × 37¹ × 107¹

Step-2: Prime Factorization of 83151

Prime factors of 83151 are 3, 9239. Prime factorization of 83151 in exponential form is:

83151 = 3² × 9239¹

Step-3: Factors of 83139

List of positive integer factors of 83139 that divides 83139 without a remainder.

1, 3, 7, 21, 37, 107, 111, 259, 321, 749, 777, 2247, 3959, 11877, 27713

Step-4: Factors of 83151

List of positive integer factors of 83151 that divides 83139 without a remainder.

1, 3, 9, 9239, 27717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83139 and 83151. The biggest common factor number is the GCF number.
So the greatest common factor 83139 and 83151 is 3.

Also check out the Least Common Multiple of 83139 and 83151