What is the Greatest Common Factor of 32914 and 32920?

Greatest common factor (GCF) of 32914 and 32920 is 2.

GCF(32914,32920) = 2

We will now calculate the prime factors of 32914 and 32920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32914 and 32920.

How to find the GCF of 32914 and 32920?

We will first find the prime factorization of 32914 and 32920. After we will calculate the factors of 32914 and 32920 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 32920

Prime factors of 32920 are 2, 5, 823. Prime factorization of 32920 in exponential form is:

32920 = 2³ × 5¹ × 823¹

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 32920

List of positive integer factors of 32920 that divides 32914 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 823, 1646, 3292, 4115, 6584, 8230, 16460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32914 and 32920. The biggest common factor number is the GCF number.
So the greatest common factor 32914 and 32920 is 2.

Also check out the Least Common Multiple of 32914 and 32920