What is the Greatest Common Factor of 12014 and 12030?

Greatest common factor (GCF) of 12014 and 12030 is 2.

GCF(12014,12030) = 2

We will now calculate the prime factors of 12014 and 12030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12014 and 12030.

How to find the GCF of 12014 and 12030?

We will first find the prime factorization of 12014 and 12030. After we will calculate the factors of 12014 and 12030 and find the biggest common factor number .

Step-1: Prime Factorization of 12014

Prime factors of 12014 are 2, 6007. Prime factorization of 12014 in exponential form is:

12014 = 2¹ × 6007¹

Step-2: 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-3: Factors of 12014

List of positive integer factors of 12014 that divides 12014 without a remainder.

1, 2, 6007

Step-4: Factors of 12030

List of positive integer factors of 12030 that divides 12014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12014 and 12030. The biggest common factor number is the GCF number.
So the greatest common factor 12014 and 12030 is 2.

Also check out the Least Common Multiple of 12014 and 12030