What is the Greatest Common Factor of 32914 and 32926?

Greatest common factor (GCF) of 32914 and 32926 is 2.

GCF(32914,32926) = 2

We will now calculate the prime factors of 32914 and 32926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32914 and 32926.

How to find the GCF of 32914 and 32926?

We will first find the prime factorization of 32914 and 32926. After we will calculate the factors of 32914 and 32926 and find the biggest common factor number .

Step-1: Prime Factorization of 32914

Prime factors of 32914 are 2, 7, 2351. Prime factorization of 32914 in exponential form is:

32914 = 2¹ × 7¹ × 2351¹

Step-2: Prime Factorization of 32926

Prime factors of 32926 are 2, 101, 163. Prime factorization of 32926 in exponential form is:

32926 = 2¹ × 101¹ × 163¹

Step-3: Factors of 32914

List of positive integer factors of 32914 that divides 32914 without a remainder.

1, 2, 7, 14, 2351, 4702, 16457

Step-4: Factors of 32926

List of positive integer factors of 32926 that divides 32914 without a remainder.

1, 2, 101, 163, 202, 326, 16463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32914 and 32926. The biggest common factor number is the GCF number.
So the greatest common factor 32914 and 32926 is 2.

Also check out the Least Common Multiple of 32914 and 32926