What is the Greatest Common Factor of 85842 and 85856?

Greatest common factor (GCF) of 85842 and 85856 is 2.

GCF(85842,85856) = 2

We will now calculate the prime factors of 85842 and 85856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85842 and 85856.

How to find the GCF of 85842 and 85856?

We will first find the prime factorization of 85842 and 85856. After we will calculate the factors of 85842 and 85856 and find the biggest common factor number .

Step-1: Prime Factorization of 85842

Prime factors of 85842 are 2, 3, 19, 251. Prime factorization of 85842 in exponential form is:

85842 = 2¹ × 3² × 19¹ × 251¹

Step-2: Prime Factorization of 85856

Prime factors of 85856 are 2, 2683. Prime factorization of 85856 in exponential form is:

85856 = 2⁵ × 2683¹

Step-3: Factors of 85842

List of positive integer factors of 85842 that divides 85842 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 251, 342, 502, 753, 1506, 2259, 4518, 4769, 9538, 14307, 28614, 42921

Step-4: Factors of 85856

List of positive integer factors of 85856 that divides 85842 without a remainder.

1, 2, 4, 8, 16, 32, 2683, 5366, 10732, 21464, 42928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85842 and 85856. The biggest common factor number is the GCF number.
So the greatest common factor 85842 and 85856 is 2.

Also check out the Least Common Multiple of 85842 and 85856