What is the Greatest Common Factor of 83138 and 83149?

Greatest common factor (GCF) of 83138 and 83149 is 11.

GCF(83138,83149) = 11

We will now calculate the prime factors of 83138 and 83149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83138 and 83149.

How to find the GCF of 83138 and 83149?

We will first find the prime factorization of 83138 and 83149. After we will calculate the factors of 83138 and 83149 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 83149

Prime factors of 83149 are 11, 7559. Prime factorization of 83149 in exponential form is:

83149 = 11¹ × 7559¹

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 83149

List of positive integer factors of 83149 that divides 83138 without a remainder.

1, 11, 7559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83138 and 83149. The biggest common factor number is the GCF number.
So the greatest common factor 83138 and 83149 is 11.

Also check out the Least Common Multiple of 83138 and 83149