What is the Greatest Common Factor of 83852 and 83856?

Greatest common factor (GCF) of 83852 and 83856 is 4.

GCF(83852,83856) = 4

We will now calculate the prime factors of 83852 and 83856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83852 and 83856.

How to find the GCF of 83852 and 83856?

We will first find the prime factorization of 83852 and 83856. After we will calculate the factors of 83852 and 83856 and find the biggest common factor number .

Step-1: Prime Factorization of 83852

Prime factors of 83852 are 2, 20963. Prime factorization of 83852 in exponential form is:

83852 = 2² × 20963¹

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 83852

List of positive integer factors of 83852 that divides 83852 without a remainder.

1, 2, 4, 20963, 41926

Step-4: Factors of 83856

List of positive integer factors of 83856 that divides 83852 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 83852 and 83856. The biggest common factor number is the GCF number.
So the greatest common factor 83852 and 83856 is 4.

Also check out the Least Common Multiple of 83852 and 83856