What is the Greatest Common Factor of 12030 and 12042?

Greatest common factor (GCF) of 12030 and 12042 is 6.

GCF(12030,12042) = 6

We will now calculate the prime factors of 12030 and 12042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12030 and 12042.

How to find the GCF of 12030 and 12042?

We will first find the prime factorization of 12030 and 12042. After we will calculate the factors of 12030 and 12042 and find the biggest common factor number .

Step-1: Prime Factorization of 12030

Prime factors of 12030 are 2, 3, 5, 401. Prime factorization of 12030 in exponential form is:

12030 = 2¹ × 3¹ × 5¹ × 401¹

Step-2: Prime Factorization of 12042

Prime factors of 12042 are 2, 3, 223. Prime factorization of 12042 in exponential form is:

12042 = 2¹ × 3³ × 223¹

Step-3: Factors of 12030

List of positive integer factors of 12030 that divides 12030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 401, 802, 1203, 2005, 2406, 4010, 6015

Step-4: Factors of 12042

List of positive integer factors of 12042 that divides 12030 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 223, 446, 669, 1338, 2007, 4014, 6021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12030 and 12042. The biggest common factor number is the GCF number.
So the greatest common factor 12030 and 12042 is 6.

Also check out the Least Common Multiple of 12030 and 12042