What is the Greatest Common Factor of 32103 and 32116?

Greatest common factor (GCF) of 32103 and 32116 is 1.

GCF(32103,32116) = 1

We will now calculate the prime factors of 32103 and 32116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32103 and 32116.

How to find the GCF of 32103 and 32116?

We will first find the prime factorization of 32103 and 32116. After we will calculate the factors of 32103 and 32116 and find the biggest common factor number .

Step-1: Prime Factorization of 32103

Prime factors of 32103 are 3, 29, 41. Prime factorization of 32103 in exponential form is:

32103 = 3³ × 29¹ × 41¹

Step-2: Prime Factorization of 32116

Prime factors of 32116 are 2, 7, 31, 37. Prime factorization of 32116 in exponential form is:

32116 = 2² × 7¹ × 31¹ × 37¹

Step-3: Factors of 32103

List of positive integer factors of 32103 that divides 32103 without a remainder.

1, 3, 9, 27, 29, 41, 87, 123, 261, 369, 783, 1107, 1189, 3567, 10701

Step-4: Factors of 32116

List of positive integer factors of 32116 that divides 32103 without a remainder.

1, 2, 4, 7, 14, 28, 31, 37, 62, 74, 124, 148, 217, 259, 434, 518, 868, 1036, 1147, 2294, 4588, 8029, 16058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32103 and 32116. The biggest common factor number is the GCF number.
So the greatest common factor 32103 and 32116 is 1.

Also check out the Least Common Multiple of 32103 and 32116