What is the Greatest Common Factor of 18606 and 18626?

Greatest common factor (GCF) of 18606 and 18626 is 2.

GCF(18606,18626) = 2

We will now calculate the prime factors of 18606 and 18626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18606 and 18626.

How to find the GCF of 18606 and 18626?

We will first find the prime factorization of 18606 and 18626. After we will calculate the factors of 18606 and 18626 and find the biggest common factor number .

Step-1: Prime Factorization of 18606

Prime factors of 18606 are 2, 3, 7, 443. Prime factorization of 18606 in exponential form is:

18606 = 2¹ × 3¹ × 7¹ × 443¹

Step-2: Prime Factorization of 18626

Prime factors of 18626 are 2, 67, 139. Prime factorization of 18626 in exponential form is:

18626 = 2¹ × 67¹ × 139¹

Step-3: Factors of 18606

List of positive integer factors of 18606 that divides 18606 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 443, 886, 1329, 2658, 3101, 6202, 9303

Step-4: Factors of 18626

List of positive integer factors of 18626 that divides 18606 without a remainder.

1, 2, 67, 134, 139, 278, 9313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18606 and 18626. The biggest common factor number is the GCF number.
So the greatest common factor 18606 and 18626 is 2.

Also check out the Least Common Multiple of 18606 and 18626