What is the Greatest Common Factor of 83130 and 83138?

Greatest common factor (GCF) of 83130 and 83138 is 2.

GCF(83130,83138) = 2

We will now calculate the prime factors of 83130 and 83138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83130 and 83138.

How to find the GCF of 83130 and 83138?

We will first find the prime factorization of 83130 and 83138. After we will calculate the factors of 83130 and 83138 and find the biggest common factor number .

Step-1: Prime Factorization of 83130

Prime factors of 83130 are 2, 3, 5, 17, 163. Prime factorization of 83130 in exponential form is:

83130 = 2¹ × 3¹ × 5¹ × 17¹ × 163¹

Step-2: Prime Factorization of 83138

Prime factors of 83138 are 2, 11, 3779. Prime factorization of 83138 in exponential form is:

83138 = 2¹ × 11¹ × 3779¹

Step-3: Factors of 83130

List of positive integer factors of 83130 that divides 83130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 163, 170, 255, 326, 489, 510, 815, 978, 1630, 2445, 2771, 4890, 5542, 8313, 13855, 16626, 27710, 41565

Step-4: Factors of 83138

List of positive integer factors of 83138 that divides 83130 without a remainder.

1, 2, 11, 22, 3779, 7558, 41569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83130 and 83138. The biggest common factor number is the GCF number.
So the greatest common factor 83130 and 83138 is 2.

Also check out the Least Common Multiple of 83130 and 83138