What is the Greatest Common Factor of 32678 and 32696?

Greatest common factor (GCF) of 32678 and 32696 is 2.

GCF(32678,32696) = 2

We will now calculate the prime factors of 32678 and 32696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32678 and 32696.

How to find the GCF of 32678 and 32696?

We will first find the prime factorization of 32678 and 32696. After we will calculate the factors of 32678 and 32696 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 32696

Prime factors of 32696 are 2, 61, 67. Prime factorization of 32696 in exponential form is:

32696 = 2³ × 61¹ × 67¹

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 32696

List of positive integer factors of 32696 that divides 32678 without a remainder.

1, 2, 4, 8, 61, 67, 122, 134, 244, 268, 488, 536, 4087, 8174, 16348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32678 and 32696. The biggest common factor number is the GCF number.
So the greatest common factor 32678 and 32696 is 2.

Also check out the Least Common Multiple of 32678 and 32696