What is the Greatest Common Factor of 6032 and 6045?

Greatest common factor (GCF) of 6032 and 6045 is 13.

GCF(6032,6045) = 13

We will now calculate the prime factors of 6032 and 6045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6032 and 6045.

How to find the GCF of 6032 and 6045?

We will first find the prime factorization of 6032 and 6045. After we will calculate the factors of 6032 and 6045 and find the biggest common factor number .

Step-1: Prime Factorization of 6032

Prime factors of 6032 are 2, 13, 29. Prime factorization of 6032 in exponential form is:

6032 = 2⁴ × 13¹ × 29¹

Step-2: Prime Factorization of 6045

Prime factors of 6045 are 3, 5, 13, 31. Prime factorization of 6045 in exponential form is:

6045 = 3¹ × 5¹ × 13¹ × 31¹

Step-3: Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016

Step-4: Factors of 6045

List of positive integer factors of 6045 that divides 6032 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6032 and 6045. The biggest common factor number is the GCF number.
So the greatest common factor 6032 and 6045 is 13.

Also check out the Least Common Multiple of 6032 and 6045