What is the Greatest Common Factor of 83138 and 83155?

Greatest common factor (GCF) of 83138 and 83155 is 1.

GCF(83138,83155) = 1

We will now calculate the prime factors of 83138 and 83155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83138 and 83155.

How to find the GCF of 83138 and 83155?

We will first find the prime factorization of 83138 and 83155. After we will calculate the factors of 83138 and 83155 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83155

Prime factors of 83155 are 5, 16631. Prime factorization of 83155 in exponential form is:

83155 = 5¹ × 16631¹

Step-3: Factors of 83138

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

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

Step-4: Factors of 83155

List of positive integer factors of 83155 that divides 83138 without a remainder.

1, 5, 16631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83138 and 83155. The biggest common factor number is the GCF number.
So the greatest common factor 83138 and 83155 is 1.

Also check out the Least Common Multiple of 83138 and 83155