What is the Greatest Common Factor of 12012 and 12025?

Greatest common factor (GCF) of 12012 and 12025 is 13.

GCF(12012,12025) = 13

We will now calculate the prime factors of 12012 and 12025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12012 and 12025.

How to find the GCF of 12012 and 12025?

We will first find the prime factorization of 12012 and 12025. After we will calculate the factors of 12012 and 12025 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 12025

Prime factors of 12025 are 5, 13, 37. Prime factorization of 12025 in exponential form is:

12025 = 5² × 13¹ × 37¹

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 12025

List of positive integer factors of 12025 that divides 12012 without a remainder.

1, 5, 13, 25, 37, 65, 185, 325, 481, 925, 2405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12012 and 12025. The biggest common factor number is the GCF number.
So the greatest common factor 12012 and 12025 is 13.

Also check out the Least Common Multiple of 12012 and 12025