What is the Greatest Common Factor of 85840 and 85856?

Greatest common factor (GCF) of 85840 and 85856 is 16.

GCF(85840,85856) = 16

We will now calculate the prime factors of 85840 and 85856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85840 and 85856.

How to find the GCF of 85840 and 85856?

We will first find the prime factorization of 85840 and 85856. After we will calculate the factors of 85840 and 85856 and find the biggest common factor number .

Step-1: Prime Factorization of 85840

Prime factors of 85840 are 2, 5, 29, 37. Prime factorization of 85840 in exponential form is:

85840 = 2⁴ × 5¹ × 29¹ × 37¹

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 85840

List of positive integer factors of 85840 that divides 85840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 37, 40, 58, 74, 80, 116, 145, 148, 185, 232, 290, 296, 370, 464, 580, 592, 740, 1073, 1160, 1480, 2146, 2320, 2960, 4292, 5365, 8584, 10730, 17168, 21460, 42920

Step-4: Factors of 85856

List of positive integer factors of 85856 that divides 85840 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 85840 and 85856. The biggest common factor number is the GCF number.
So the greatest common factor 85840 and 85856 is 16.

Also check out the Least Common Multiple of 85840 and 85856