What is the Greatest Common Factor of 85564 and 85578?

Greatest common factor (GCF) of 85564 and 85578 is 2.

GCF(85564,85578) = 2

We will now calculate the prime factors of 85564 and 85578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85564 and 85578.

How to find the GCF of 85564 and 85578?

We will first find the prime factorization of 85564 and 85578. After we will calculate the factors of 85564 and 85578 and find the biggest common factor number .

Step-1: Prime Factorization of 85564

Prime factors of 85564 are 2, 21391. Prime factorization of 85564 in exponential form is:

85564 = 2² × 21391¹

Step-2: Prime Factorization of 85578

Prime factors of 85578 are 2, 3, 17, 839. Prime factorization of 85578 in exponential form is:

85578 = 2¹ × 3¹ × 17¹ × 839¹

Step-3: Factors of 85564

List of positive integer factors of 85564 that divides 85564 without a remainder.

1, 2, 4, 21391, 42782

Step-4: Factors of 85578

List of positive integer factors of 85578 that divides 85564 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 839, 1678, 2517, 5034, 14263, 28526, 42789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85564 and 85578. The biggest common factor number is the GCF number.
So the greatest common factor 85564 and 85578 is 2.

Also check out the Least Common Multiple of 85564 and 85578