What is the Greatest Common Factor of 83856 and 83872?

Greatest common factor (GCF) of 83856 and 83872 is 16.

GCF(83856,83872) = 16

We will now calculate the prime factors of 83856 and 83872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83856 and 83872.

How to find the GCF of 83856 and 83872?

We will first find the prime factorization of 83856 and 83872. After we will calculate the factors of 83856 and 83872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83872

Prime factors of 83872 are 2, 2621. Prime factorization of 83872 in exponential form is:

83872 = 2⁵ × 2621¹

Step-3: Factors of 83856

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

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

Step-4: Factors of 83872

List of positive integer factors of 83872 that divides 83856 without a remainder.

1, 2, 4, 8, 16, 32, 2621, 5242, 10484, 20968, 41936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83856 and 83872. The biggest common factor number is the GCF number.
So the greatest common factor 83856 and 83872 is 16.

Also check out the Least Common Multiple of 83856 and 83872