What is the Greatest Common Factor of 83696 and 83700?

Greatest common factor (GCF) of 83696 and 83700 is 4.

GCF(83696,83700) = 4

We will now calculate the prime factors of 83696 and 83700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83696 and 83700.

How to find the GCF of 83696 and 83700?

We will first find the prime factorization of 83696 and 83700. After we will calculate the factors of 83696 and 83700 and find the biggest common factor number .

Step-1: Prime Factorization of 83696

Prime factors of 83696 are 2, 5231. Prime factorization of 83696 in exponential form is:

83696 = 2⁴ × 5231¹

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 83696

List of positive integer factors of 83696 that divides 83696 without a remainder.

1, 2, 4, 8, 16, 5231, 10462, 20924, 41848

Step-4: Factors of 83700

List of positive integer factors of 83700 that divides 83696 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 83696 and 83700. The biggest common factor number is the GCF number.
So the greatest common factor 83696 and 83700 is 4.

Also check out the Least Common Multiple of 83696 and 83700