What is the Greatest Common Factor of 32914 and 32923?

Greatest common factor (GCF) of 32914 and 32923 is 1.

GCF(32914,32923) = 1

We will now calculate the prime factors of 32914 and 32923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32914 and 32923.

How to find the GCF of 32914 and 32923?

We will first find the prime factorization of 32914 and 32923. After we will calculate the factors of 32914 and 32923 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 32923

Prime factors of 32923 are 11, 41, 73. Prime factorization of 32923 in exponential form is:

32923 = 11¹ × 41¹ × 73¹

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 32923

List of positive integer factors of 32923 that divides 32914 without a remainder.

1, 11, 41, 73, 451, 803, 2993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32914 and 32923. The biggest common factor number is the GCF number.
So the greatest common factor 32914 and 32923 is 1.

Also check out the Least Common Multiple of 32914 and 32923