What is the Greatest Common Factor of 32033 and 32045?

Greatest common factor (GCF) of 32033 and 32045 is 1.

GCF(32033,32045) = 1

We will now calculate the prime factors of 32033 and 32045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32033 and 32045.

How to find the GCF of 32033 and 32045?

We will first find the prime factorization of 32033 and 32045. After we will calculate the factors of 32033 and 32045 and find the biggest common factor number .

Step-1: Prime Factorization of 32033

Prime factors of 32033 are 103, 311. Prime factorization of 32033 in exponential form is:

32033 = 103¹ × 311¹

Step-2: Prime Factorization of 32045

Prime factors of 32045 are 5, 13, 17, 29. Prime factorization of 32045 in exponential form is:

32045 = 5¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 32033

List of positive integer factors of 32033 that divides 32033 without a remainder.

1, 103, 311

Step-4: Factors of 32045

List of positive integer factors of 32045 that divides 32033 without a remainder.

1, 5, 13, 17, 29, 65, 85, 145, 221, 377, 493, 1105, 1885, 2465, 6409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32033 and 32045. The biggest common factor number is the GCF number.
So the greatest common factor 32033 and 32045 is 1.

Also check out the Least Common Multiple of 32033 and 32045