What is the Greatest Common Factor of 83800 and 83808?

Greatest common factor (GCF) of 83800 and 83808 is 8.

GCF(83800,83808) = 8

We will now calculate the prime factors of 83800 and 83808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83800 and 83808.

How to find the GCF of 83800 and 83808?

We will first find the prime factorization of 83800 and 83808. After we will calculate the factors of 83800 and 83808 and find the biggest common factor number .

Step-1: Prime Factorization of 83800

Prime factors of 83800 are 2, 5, 419. Prime factorization of 83800 in exponential form is:

83800 = 2³ × 5² × 419¹

Step-2: Prime Factorization of 83808

Prime factors of 83808 are 2, 3, 97. Prime factorization of 83808 in exponential form is:

83808 = 2⁵ × 3³ × 97¹

Step-3: Factors of 83800

List of positive integer factors of 83800 that divides 83800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 419, 838, 1676, 2095, 3352, 4190, 8380, 10475, 16760, 20950, 41900

Step-4: Factors of 83808

List of positive integer factors of 83808 that divides 83800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 97, 108, 144, 194, 216, 288, 291, 388, 432, 582, 776, 864, 873, 1164, 1552, 1746, 2328, 2619, 3104, 3492, 4656, 5238, 6984, 9312, 10476, 13968, 20952, 27936, 41904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83800 and 83808. The biggest common factor number is the GCF number.
So the greatest common factor 83800 and 83808 is 8.

Also check out the Least Common Multiple of 83800 and 83808