What is the Greatest Common Factor of 83856 and 83870?

Greatest common factor (GCF) of 83856 and 83870 is 2.

GCF(83856,83870) = 2

We will now calculate the prime factors of 83856 and 83870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83856 and 83870.

How to find the GCF of 83856 and 83870?

We will first find the prime factorization of 83856 and 83870. After we will calculate the factors of 83856 and 83870 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 83870

Prime factors of 83870 are 2, 5, 8387. Prime factorization of 83870 in exponential form is:

83870 = 2¹ × 5¹ × 8387¹

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 83870

List of positive integer factors of 83870 that divides 83856 without a remainder.

1, 2, 5, 10, 8387, 16774, 41935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83856 and 83870. The biggest common factor number is the GCF number.
So the greatest common factor 83856 and 83870 is 2.

Also check out the Least Common Multiple of 83856 and 83870