What is the Greatest Common Factor of 83808 and 83826?

Greatest common factor (GCF) of 83808 and 83826 is 18.

GCF(83808,83826) = 18

We will now calculate the prime factors of 83808 and 83826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83808 and 83826.

How to find the GCF of 83808 and 83826?

We will first find the prime factorization of 83808 and 83826. After we will calculate the factors of 83808 and 83826 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83826

Prime factors of 83826 are 2, 3, 4657. Prime factorization of 83826 in exponential form is:

83826 = 2¹ × 3² × 4657¹

Step-3: Factors of 83808

List of positive integer factors of 83808 that divides 83808 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

Step-4: Factors of 83826

List of positive integer factors of 83826 that divides 83808 without a remainder.

1, 2, 3, 6, 9, 18, 4657, 9314, 13971, 27942, 41913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83808 and 83826. The biggest common factor number is the GCF number.
So the greatest common factor 83808 and 83826 is 18.

Also check out the Least Common Multiple of 83808 and 83826