What is the Greatest Common Factor of 12014 and 12032?

Greatest common factor (GCF) of 12014 and 12032 is 2.

GCF(12014,12032) = 2

We will now calculate the prime factors of 12014 and 12032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12014 and 12032.

How to find the GCF of 12014 and 12032?

We will first find the prime factorization of 12014 and 12032. After we will calculate the factors of 12014 and 12032 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 12032

Prime factors of 12032 are 2, 47. Prime factorization of 12032 in exponential form is:

12032 = 2⁸ × 47¹

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 12032

List of positive integer factors of 12032 that divides 12014 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 752, 1504, 3008, 6016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12014 and 12032. The biggest common factor number is the GCF number.
So the greatest common factor 12014 and 12032 is 2.

Also check out the Least Common Multiple of 12014 and 12032