What is the Greatest Common Factor of 83348 and 83361?

Greatest common factor (GCF) of 83348 and 83361 is 1.

GCF(83348,83361) = 1

We will now calculate the prime factors of 83348 and 83361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83348 and 83361.

How to find the GCF of 83348 and 83361?

We will first find the prime factorization of 83348 and 83361. After we will calculate the factors of 83348 and 83361 and find the biggest common factor number .

Step-1: Prime Factorization of 83348

Prime factors of 83348 are 2, 67, 311. Prime factorization of 83348 in exponential form is:

83348 = 2² × 67¹ × 311¹

Step-2: Prime Factorization of 83361

Prime factors of 83361 are 3, 37, 751. Prime factorization of 83361 in exponential form is:

83361 = 3¹ × 37¹ × 751¹

Step-3: Factors of 83348

List of positive integer factors of 83348 that divides 83348 without a remainder.

1, 2, 4, 67, 134, 268, 311, 622, 1244, 20837, 41674

Step-4: Factors of 83361

List of positive integer factors of 83361 that divides 83348 without a remainder.

1, 3, 37, 111, 751, 2253, 27787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83348 and 83361. The biggest common factor number is the GCF number.
So the greatest common factor 83348 and 83361 is 1.

Also check out the Least Common Multiple of 83348 and 83361