What is the Greatest Common Factor of 83351 and 83368?

Greatest common factor (GCF) of 83351 and 83368 is 17.

GCF(83351,83368) = 17

We will now calculate the prime factors of 83351 and 83368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83351 and 83368.

How to find the GCF of 83351 and 83368?

We will first find the prime factorization of 83351 and 83368. After we will calculate the factors of 83351 and 83368 and find the biggest common factor number .

Step-1: Prime Factorization of 83351

Prime factors of 83351 are 17, 4903. Prime factorization of 83351 in exponential form is:

83351 = 17¹ × 4903¹

Step-2: Prime Factorization of 83368

Prime factors of 83368 are 2, 17, 613. Prime factorization of 83368 in exponential form is:

83368 = 2³ × 17¹ × 613¹

Step-3: Factors of 83351

List of positive integer factors of 83351 that divides 83351 without a remainder.

1, 17, 4903

Step-4: Factors of 83368

List of positive integer factors of 83368 that divides 83351 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 613, 1226, 2452, 4904, 10421, 20842, 41684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83351 and 83368. The biggest common factor number is the GCF number.
So the greatest common factor 83351 and 83368 is 17.

Also check out the Least Common Multiple of 83351 and 83368