What is the Greatest Common Factor of 85872 and 85878?

Greatest common factor (GCF) of 85872 and 85878 is 6.

GCF(85872,85878) = 6

We will now calculate the prime factors of 85872 and 85878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85872 and 85878.

How to find the GCF of 85872 and 85878?

We will first find the prime factorization of 85872 and 85878. After we will calculate the factors of 85872 and 85878 and find the biggest common factor number .

Step-1: Prime Factorization of 85872

Prime factors of 85872 are 2, 3, 1789. Prime factorization of 85872 in exponential form is:

85872 = 2⁴ × 3¹ × 1789¹

Step-2: Prime Factorization of 85878

Prime factors of 85878 are 2, 3, 13, 367. Prime factorization of 85878 in exponential form is:

85878 = 2¹ × 3² × 13¹ × 367¹

Step-3: Factors of 85872

List of positive integer factors of 85872 that divides 85872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1789, 3578, 5367, 7156, 10734, 14312, 21468, 28624, 42936

Step-4: Factors of 85878

List of positive integer factors of 85878 that divides 85872 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 367, 734, 1101, 2202, 3303, 4771, 6606, 9542, 14313, 28626, 42939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85872 and 85878. The biggest common factor number is the GCF number.
So the greatest common factor 85872 and 85878 is 6.

Also check out the Least Common Multiple of 85872 and 85878