What is the Greatest Common Factor of 83684 and 83700?

Greatest common factor (GCF) of 83684 and 83700 is 4.

GCF(83684,83700) = 4

We will now calculate the prime factors of 83684 and 83700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83684 and 83700.

How to find the GCF of 83684 and 83700?

We will first find the prime factorization of 83684 and 83700. After we will calculate the factors of 83684 and 83700 and find the biggest common factor number .

Step-1: Prime Factorization of 83684

Prime factors of 83684 are 2, 20921. Prime factorization of 83684 in exponential form is:

83684 = 2² × 20921¹

Step-2: Prime Factorization of 83700

Prime factors of 83700 are 2, 3, 5, 31. Prime factorization of 83700 in exponential form is:

83700 = 2² × 3³ × 5² × 31¹

Step-3: Factors of 83684

List of positive integer factors of 83684 that divides 83684 without a remainder.

1, 2, 4, 20921, 41842

Step-4: Factors of 83700

List of positive integer factors of 83700 that divides 83684 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 31, 36, 45, 50, 54, 60, 62, 75, 90, 93, 100, 108, 124, 135, 150, 155, 180, 186, 225, 270, 279, 300, 310, 372, 450, 465, 540, 558, 620, 675, 775, 837, 900, 930, 1116, 1350, 1395, 1550, 1674, 1860, 2325, 2700, 2790, 3100, 3348, 4185, 4650, 5580, 6975, 8370, 9300, 13950, 16740, 20925, 27900, 41850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83684 and 83700. The biggest common factor number is the GCF number.
So the greatest common factor 83684 and 83700 is 4.

Also check out the Least Common Multiple of 83684 and 83700