What is the Greatest Common Factor of 6030 and 6045?

Greatest common factor (GCF) of 6030 and 6045 is 15.

GCF(6030,6045) = 15

We will now calculate the prime factors of 6030 and 6045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6030 and 6045.

How to find the GCF of 6030 and 6045?

We will first find the prime factorization of 6030 and 6045. After we will calculate the factors of 6030 and 6045 and find the biggest common factor number .

Step-1: Prime Factorization of 6030

Prime factors of 6030 are 2, 3, 5, 67. Prime factorization of 6030 in exponential form is:

6030 = 2¹ × 3² × 5¹ × 67¹

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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015

Step-4: Factors of 6045

List of positive integer factors of 6045 that divides 6030 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 6030 and 6045. The biggest common factor number is the GCF number.
So the greatest common factor 6030 and 6045 is 15.

Also check out the Least Common Multiple of 6030 and 6045