What is the Greatest Common Factor of 12012 and 12031?

Greatest common factor (GCF) of 12012 and 12031 is 1.

GCF(12012,12031) = 1

We will now calculate the prime factors of 12012 and 12031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12012 and 12031.

How to find the GCF of 12012 and 12031?

We will first find the prime factorization of 12012 and 12031. After we will calculate the factors of 12012 and 12031 and find the biggest common factor number .

Step-1: Prime Factorization of 12012

Prime factors of 12012 are 2, 3, 7, 11, 13. Prime factorization of 12012 in exponential form is:

12012 = 2² × 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 12031

Prime factors of 12031 are 53, 227. Prime factorization of 12031 in exponential form is:

12031 = 53¹ × 227¹

Step-3: Factors of 12012

List of positive integer factors of 12012 that divides 12012 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 13, 14, 21, 22, 26, 28, 33, 39, 42, 44, 52, 66, 77, 78, 84, 91, 132, 143, 154, 156, 182, 231, 273, 286, 308, 364, 429, 462, 546, 572, 858, 924, 1001, 1092, 1716, 2002, 3003, 4004, 6006

Step-4: Factors of 12031

List of positive integer factors of 12031 that divides 12012 without a remainder.

1, 53, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12012 and 12031. The biggest common factor number is the GCF number.
So the greatest common factor 12012 and 12031 is 1.

Also check out the Least Common Multiple of 12012 and 12031