What is the Greatest Common Factor of 83356 and 83368?

Greatest common factor (GCF) of 83356 and 83368 is 4.

GCF(83356,83368) = 4

We will now calculate the prime factors of 83356 and 83368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83356 and 83368.

How to find the GCF of 83356 and 83368?

We will first find the prime factorization of 83356 and 83368. After we will calculate the factors of 83356 and 83368 and find the biggest common factor number .

Step-1: Prime Factorization of 83356

Prime factors of 83356 are 2, 7, 13, 229. Prime factorization of 83356 in exponential form is:

83356 = 2² × 7¹ × 13¹ × 229¹

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 83356

List of positive integer factors of 83356 that divides 83356 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 229, 364, 458, 916, 1603, 2977, 3206, 5954, 6412, 11908, 20839, 41678

Step-4: Factors of 83368

List of positive integer factors of 83368 that divides 83356 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 83356 and 83368. The biggest common factor number is the GCF number.
So the greatest common factor 83356 and 83368 is 4.

Also check out the Least Common Multiple of 83356 and 83368