What is the Greatest Common Factor of 83838 and 83856?

Greatest common factor (GCF) of 83838 and 83856 is 6.

GCF(83838,83856) = 6

We will now calculate the prime factors of 83838 and 83856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83838 and 83856.

How to find the GCF of 83838 and 83856?

We will first find the prime factorization of 83838 and 83856. After we will calculate the factors of 83838 and 83856 and find the biggest common factor number .

Step-1: Prime Factorization of 83838

Prime factors of 83838 are 2, 3, 89, 157. Prime factorization of 83838 in exponential form is:

83838 = 2¹ × 3¹ × 89¹ × 157¹

Step-2: Prime Factorization of 83856

Prime factors of 83856 are 2, 3, 1747. Prime factorization of 83856 in exponential form is:

83856 = 2⁴ × 3¹ × 1747¹

Step-3: Factors of 83838

List of positive integer factors of 83838 that divides 83838 without a remainder.

1, 2, 3, 6, 89, 157, 178, 267, 314, 471, 534, 942, 13973, 27946, 41919

Step-4: Factors of 83856

List of positive integer factors of 83856 that divides 83838 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1747, 3494, 5241, 6988, 10482, 13976, 20964, 27952, 41928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83838 and 83856. The biggest common factor number is the GCF number.
So the greatest common factor 83838 and 83856 is 6.

Also check out the Least Common Multiple of 83838 and 83856