What is the Greatest Common Factor of 42585 and 42594?

Greatest common factor (GCF) of 42585 and 42594 is 3.

GCF(42585,42594) = 3

We will now calculate the prime factors of 42585 and 42594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42585 and 42594.

How to find the GCF of 42585 and 42594?

We will first find the prime factorization of 42585 and 42594. After we will calculate the factors of 42585 and 42594 and find the biggest common factor number .

Step-1: Prime Factorization of 42585

Prime factors of 42585 are 3, 5, 17, 167. Prime factorization of 42585 in exponential form is:

42585 = 3¹ × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 42594

Prime factors of 42594 are 2, 3, 31, 229. Prime factorization of 42594 in exponential form is:

42594 = 2¹ × 3¹ × 31¹ × 229¹

Step-3: Factors of 42585

List of positive integer factors of 42585 that divides 42585 without a remainder.

1, 3, 5, 15, 17, 51, 85, 167, 255, 501, 835, 2505, 2839, 8517, 14195

Step-4: Factors of 42594

List of positive integer factors of 42594 that divides 42585 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 229, 458, 687, 1374, 7099, 14198, 21297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42585 and 42594. The biggest common factor number is the GCF number.
So the greatest common factor 42585 and 42594 is 3.

Also check out the Least Common Multiple of 42585 and 42594