What is the Greatest Common Factor of 42586 and 42606?

Greatest common factor (GCF) of 42586 and 42606 is 2.

GCF(42586,42606) = 2

We will now calculate the prime factors of 42586 and 42606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42586 and 42606.

How to find the GCF of 42586 and 42606?

We will first find the prime factorization of 42586 and 42606. After we will calculate the factors of 42586 and 42606 and find the biggest common factor number .

Step-1: Prime Factorization of 42586

Prime factors of 42586 are 2, 107, 199. Prime factorization of 42586 in exponential form is:

42586 = 2¹ × 107¹ × 199¹

Step-2: Prime Factorization of 42606

Prime factors of 42606 are 2, 3, 263. Prime factorization of 42606 in exponential form is:

42606 = 2¹ × 3⁴ × 263¹

Step-3: Factors of 42586

List of positive integer factors of 42586 that divides 42586 without a remainder.

1, 2, 107, 199, 214, 398, 21293

Step-4: Factors of 42606

List of positive integer factors of 42606 that divides 42586 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 263, 526, 789, 1578, 2367, 4734, 7101, 14202, 21303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42586 and 42606. The biggest common factor number is the GCF number.
So the greatest common factor 42586 and 42606 is 2.

Also check out the Least Common Multiple of 42586 and 42606