What is the Greatest Common Factor of 6030 and 6042?

Greatest common factor (GCF) of 6030 and 6042 is 6.

GCF(6030,6042) = 6

We will now calculate the prime factors of 6030 and 6042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6030 and 6042.

How to find the GCF of 6030 and 6042?

We will first find the prime factorization of 6030 and 6042. After we will calculate the factors of 6030 and 6042 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 6042

Prime factors of 6042 are 2, 3, 19, 53. Prime factorization of 6042 in exponential form is:

6042 = 2¹ × 3¹ × 19¹ × 53¹

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 6042

List of positive integer factors of 6042 that divides 6030 without a remainder.

1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6030 and 6042. The biggest common factor number is the GCF number.
So the greatest common factor 6030 and 6042 is 6.

Also check out the Least Common Multiple of 6030 and 6042