What is the Greatest Common Factor of 32686 and 32690?

Greatest common factor (GCF) of 32686 and 32690 is 2.

GCF(32686,32690) = 2

We will now calculate the prime factors of 32686 and 32690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32686 and 32690.

How to find the GCF of 32686 and 32690?

We will first find the prime factorization of 32686 and 32690. After we will calculate the factors of 32686 and 32690 and find the biggest common factor number .

Step-1: Prime Factorization of 32686

Prime factors of 32686 are 2, 59, 277. Prime factorization of 32686 in exponential form is:

32686 = 2¹ × 59¹ × 277¹

Step-2: Prime Factorization of 32690

Prime factors of 32690 are 2, 5, 7, 467. Prime factorization of 32690 in exponential form is:

32690 = 2¹ × 5¹ × 7¹ × 467¹

Step-3: Factors of 32686

List of positive integer factors of 32686 that divides 32686 without a remainder.

1, 2, 59, 118, 277, 554, 16343

Step-4: Factors of 32690

List of positive integer factors of 32690 that divides 32686 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 467, 934, 2335, 3269, 4670, 6538, 16345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32686 and 32690. The biggest common factor number is the GCF number.
So the greatest common factor 32686 and 32690 is 2.

Also check out the Least Common Multiple of 32686 and 32690