What is the Greatest Common Factor of 42585 and 42602?

Greatest common factor (GCF) of 42585 and 42602 is 17.

GCF(42585,42602) = 17

We will now calculate the prime factors of 42585 and 42602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42585 and 42602.

How to find the GCF of 42585 and 42602?

We will first find the prime factorization of 42585 and 42602. After we will calculate the factors of 42585 and 42602 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 42602

Prime factors of 42602 are 2, 7, 17, 179. Prime factorization of 42602 in exponential form is:

42602 = 2¹ × 7¹ × 17¹ × 179¹

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 42602

List of positive integer factors of 42602 that divides 42585 without a remainder.

1, 2, 7, 14, 17, 34, 119, 179, 238, 358, 1253, 2506, 3043, 6086, 21301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42585 and 42602. The biggest common factor number is the GCF number.
So the greatest common factor 42585 and 42602 is 17.

Also check out the Least Common Multiple of 42585 and 42602