What is the Greatest Common Factor of 83348 and 83354?

Greatest common factor (GCF) of 83348 and 83354 is 2.

GCF(83348,83354) = 2

We will now calculate the prime factors of 83348 and 83354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83348 and 83354.

How to find the GCF of 83348 and 83354?

We will first find the prime factorization of 83348 and 83354. After we will calculate the factors of 83348 and 83354 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 83354

Prime factors of 83354 are 2, 71, 587. Prime factorization of 83354 in exponential form is:

83354 = 2¹ × 71¹ × 587¹

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 83354

List of positive integer factors of 83354 that divides 83348 without a remainder.

1, 2, 71, 142, 587, 1174, 41677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83348 and 83354. The biggest common factor number is the GCF number.
So the greatest common factor 83348 and 83354 is 2.

Also check out the Least Common Multiple of 83348 and 83354