What is the Greatest Common Factor of 83700 and 83708?

Greatest common factor (GCF) of 83700 and 83708 is 4.

GCF(83700,83708) = 4

We will now calculate the prime factors of 83700 and 83708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83700 and 83708.

How to find the GCF of 83700 and 83708?

We will first find the prime factorization of 83700 and 83708. After we will calculate the factors of 83700 and 83708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83708

Prime factors of 83708 are 2, 17, 1231. Prime factorization of 83708 in exponential form is:

83708 = 2² × 17¹ × 1231¹

Step-3: Factors of 83700

List of positive integer factors of 83700 that divides 83700 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

Step-4: Factors of 83708

List of positive integer factors of 83708 that divides 83700 without a remainder.

1, 2, 4, 17, 34, 68, 1231, 2462, 4924, 20927, 41854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83700 and 83708. The biggest common factor number is the GCF number.
So the greatest common factor 83700 and 83708 is 4.

Also check out the Least Common Multiple of 83700 and 83708