What is the Greatest Common Factor of 83127 and 83138?

Greatest common factor (GCF) of 83127 and 83138 is 11.

GCF(83127,83138) = 11

We will now calculate the prime factors of 83127 and 83138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83127 and 83138.

How to find the GCF of 83127 and 83138?

We will first find the prime factorization of 83127 and 83138. After we will calculate the factors of 83127 and 83138 and find the biggest common factor number .

Step-1: Prime Factorization of 83127

Prime factors of 83127 are 3, 11, 229. Prime factorization of 83127 in exponential form is:

83127 = 3¹ × 11² × 229¹

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 83127

List of positive integer factors of 83127 that divides 83127 without a remainder.

1, 3, 11, 33, 121, 229, 363, 687, 2519, 7557, 27709

Step-4: Factors of 83138

List of positive integer factors of 83138 that divides 83127 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83127 and 83138. The biggest common factor number is the GCF number.
So the greatest common factor 83127 and 83138 is 11.

Also check out the Least Common Multiple of 83127 and 83138