What is the Greatest Common Factor of 83300 and 83319?

Greatest common factor (GCF) of 83300 and 83319 is 1.

GCF(83300,83319) = 1

We will now calculate the prime factors of 83300 and 83319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83300 and 83319.

How to find the GCF of 83300 and 83319?

We will first find the prime factorization of 83300 and 83319. After we will calculate the factors of 83300 and 83319 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 83319

Prime factors of 83319 are 3, 27773. Prime factorization of 83319 in exponential form is:

83319 = 3¹ × 27773¹

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 83319

List of positive integer factors of 83319 that divides 83300 without a remainder.

1, 3, 27773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83300 and 83319. The biggest common factor number is the GCF number.
So the greatest common factor 83300 and 83319 is 1.

Also check out the Least Common Multiple of 83300 and 83319