What is the Greatest Common Factor of 12131 and 12145?

Greatest common factor (GCF) of 12131 and 12145 is 7.

GCF(12131,12145) = 7

We will now calculate the prime factors of 12131 and 12145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12131 and 12145.

How to find the GCF of 12131 and 12145?

We will first find the prime factorization of 12131 and 12145. After we will calculate the factors of 12131 and 12145 and find the biggest common factor number .

Step-1: Prime Factorization of 12131

Prime factors of 12131 are 7, 1733. Prime factorization of 12131 in exponential form is:

12131 = 7¹ × 1733¹

Step-2: Prime Factorization of 12145

Prime factors of 12145 are 5, 7, 347. Prime factorization of 12145 in exponential form is:

12145 = 5¹ × 7¹ × 347¹

Step-3: Factors of 12131

List of positive integer factors of 12131 that divides 12131 without a remainder.

1, 7, 1733

Step-4: Factors of 12145

List of positive integer factors of 12145 that divides 12131 without a remainder.

1, 5, 7, 35, 347, 1735, 2429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12131 and 12145. The biggest common factor number is the GCF number.
So the greatest common factor 12131 and 12145 is 7.

Also check out the Least Common Multiple of 12131 and 12145