What is the Greatest Common Factor of 83084 and 83100?

Greatest common factor (GCF) of 83084 and 83100 is 4.

GCF(83084,83100) = 4

We will now calculate the prime factors of 83084 and 83100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83084 and 83100.

How to find the GCF of 83084 and 83100?

We will first find the prime factorization of 83084 and 83100. After we will calculate the factors of 83084 and 83100 and find the biggest common factor number .

Step-1: Prime Factorization of 83084

Prime factors of 83084 are 2, 20771. Prime factorization of 83084 in exponential form is:

83084 = 2² × 20771¹

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 83084

List of positive integer factors of 83084 that divides 83084 without a remainder.

1, 2, 4, 20771, 41542

Step-4: Factors of 83100

List of positive integer factors of 83100 that divides 83084 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 83084 and 83100. The biggest common factor number is the GCF number.
So the greatest common factor 83084 and 83100 is 4.

Also check out the Least Common Multiple of 83084 and 83100