What is the Greatest Common Factor of 83085 and 83100?

Greatest common factor (GCF) of 83085 and 83100 is 15.

GCF(83085,83100) = 15

We will now calculate the prime factors of 83085 and 83100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83085 and 83100.

How to find the GCF of 83085 and 83100?

We will first find the prime factorization of 83085 and 83100. After we will calculate the factors of 83085 and 83100 and find the biggest common factor number .

Step-1: Prime Factorization of 83085

Prime factors of 83085 are 3, 5, 29, 191. Prime factorization of 83085 in exponential form is:

83085 = 3¹ × 5¹ × 29¹ × 191¹

Step-2: Prime Factorization of 83100

Prime factors of 83100 are 2, 3, 5, 277. Prime factorization of 83100 in exponential form is:

83100 = 2² × 3¹ × 5² × 277¹

Step-3: Factors of 83085

List of positive integer factors of 83085 that divides 83085 without a remainder.

1, 3, 5, 15, 29, 87, 145, 191, 435, 573, 955, 2865, 5539, 16617, 27695

Step-4: Factors of 83100

List of positive integer factors of 83100 that divides 83085 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 277, 300, 554, 831, 1108, 1385, 1662, 2770, 3324, 4155, 5540, 6925, 8310, 13850, 16620, 20775, 27700, 41550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83085 and 83100. The biggest common factor number is the GCF number.
So the greatest common factor 83085 and 83100 is 15.

Also check out the Least Common Multiple of 83085 and 83100