What is the Greatest Common Factor of 32030 and 32045?

Greatest common factor (GCF) of 32030 and 32045 is 5.

GCF(32030,32045) = 5

We will now calculate the prime factors of 32030 and 32045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32030 and 32045.

How to find the GCF of 32030 and 32045?

We will first find the prime factorization of 32030 and 32045. After we will calculate the factors of 32030 and 32045 and find the biggest common factor number .

Step-1: Prime Factorization of 32030

Prime factors of 32030 are 2, 5, 3203. Prime factorization of 32030 in exponential form is:

32030 = 2¹ × 5¹ × 3203¹

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 32030

List of positive integer factors of 32030 that divides 32030 without a remainder.

1, 2, 5, 10, 3203, 6406, 16015

Step-4: Factors of 32045

List of positive integer factors of 32045 that divides 32030 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 32030 and 32045. The biggest common factor number is the GCF number.
So the greatest common factor 32030 and 32045 is 5.

Also check out the Least Common Multiple of 32030 and 32045