What is the Greatest Common Factor of 32678 and 32686?

Greatest common factor (GCF) of 32678 and 32686 is 2.

GCF(32678,32686) = 2

We will now calculate the prime factors of 32678 and 32686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32678 and 32686.

How to find the GCF of 32678 and 32686?

We will first find the prime factorization of 32678 and 32686. After we will calculate the factors of 32678 and 32686 and find the biggest common factor number .

Step-1: Prime Factorization of 32678

Prime factors of 32678 are 2, 16339. Prime factorization of 32678 in exponential form is:

32678 = 2¹ × 16339¹

Step-2: 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-3: Factors of 32678

List of positive integer factors of 32678 that divides 32678 without a remainder.

1, 2, 16339

Step-4: Factors of 32686

List of positive integer factors of 32686 that divides 32678 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32678 and 32686. The biggest common factor number is the GCF number.
So the greatest common factor 32678 and 32686 is 2.

Also check out the Least Common Multiple of 32678 and 32686