What is the Greatest Common Factor of 83362 and 83368?

Greatest common factor (GCF) of 83362 and 83368 is 2.

GCF(83362,83368) = 2

We will now calculate the prime factors of 83362 and 83368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83362 and 83368.

How to find the GCF of 83362 and 83368?

We will first find the prime factorization of 83362 and 83368. After we will calculate the factors of 83362 and 83368 and find the biggest common factor number .

Step-1: Prime Factorization of 83362

Prime factors of 83362 are 2, 41681. Prime factorization of 83362 in exponential form is:

83362 = 2¹ × 41681¹

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 83362

List of positive integer factors of 83362 that divides 83362 without a remainder.

1, 2, 41681

Step-4: Factors of 83368

List of positive integer factors of 83368 that divides 83362 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 83362 and 83368. The biggest common factor number is the GCF number.
So the greatest common factor 83362 and 83368 is 2.

Also check out the Least Common Multiple of 83362 and 83368