What is the Greatest Common Factor of 83808 and 83818?

Greatest common factor (GCF) of 83808 and 83818 is 2.

GCF(83808,83818) = 2

We will now calculate the prime factors of 83808 and 83818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83808 and 83818.

How to find the GCF of 83808 and 83818?

We will first find the prime factorization of 83808 and 83818. After we will calculate the factors of 83808 and 83818 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 83818

Prime factors of 83818 are 2, 7, 5987. Prime factorization of 83818 in exponential form is:

83818 = 2¹ × 7¹ × 5987¹

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 83818

List of positive integer factors of 83818 that divides 83808 without a remainder.

1, 2, 7, 14, 5987, 11974, 41909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83808 and 83818. The biggest common factor number is the GCF number.
So the greatest common factor 83808 and 83818 is 2.

Also check out the Least Common Multiple of 83808 and 83818