What is the Greatest Common Factor of 83300 and 83317?

Greatest common factor (GCF) of 83300 and 83317 is 17.

GCF(83300,83317) = 17

We will now calculate the prime factors of 83300 and 83317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83300 and 83317.

How to find the GCF of 83300 and 83317?

We will first find the prime factorization of 83300 and 83317. After we will calculate the factors of 83300 and 83317 and find the biggest common factor number .

Step-1: Prime Factorization of 83300

Prime factors of 83300 are 2, 5, 7, 17. Prime factorization of 83300 in exponential form is:

83300 = 2² × 5² × 7² × 17¹

Step-2: Prime Factorization of 83317

Prime factors of 83317 are 13, 17, 29. Prime factorization of 83317 in exponential form is:

83317 = 13² × 17¹ × 29¹

Step-3: Factors of 83300

List of positive integer factors of 83300 that divides 83300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 49, 50, 68, 70, 85, 98, 100, 119, 140, 170, 175, 196, 238, 245, 340, 350, 425, 476, 490, 595, 700, 833, 850, 980, 1190, 1225, 1666, 1700, 2380, 2450, 2975, 3332, 4165, 4900, 5950, 8330, 11900, 16660, 20825, 41650

Step-4: Factors of 83317

List of positive integer factors of 83317 that divides 83300 without a remainder.

1, 13, 17, 29, 169, 221, 377, 493, 2873, 4901, 6409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83300 and 83317. The biggest common factor number is the GCF number.
So the greatest common factor 83300 and 83317 is 17.

Also check out the Least Common Multiple of 83300 and 83317