What is the Greatest Common Factor of 12117 and 12131?

Greatest common factor (GCF) of 12117 and 12131 is 7.

GCF(12117,12131) = 7

We will now calculate the prime factors of 12117 and 12131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12117 and 12131.

How to find the GCF of 12117 and 12131?

We will first find the prime factorization of 12117 and 12131. After we will calculate the factors of 12117 and 12131 and find the biggest common factor number .

Step-1: Prime Factorization of 12117

Prime factors of 12117 are 3, 7, 577. Prime factorization of 12117 in exponential form is:

12117 = 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 12131

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

12131 = 7¹ × 1733¹

Step-3: Factors of 12117

List of positive integer factors of 12117 that divides 12117 without a remainder.

1, 3, 7, 21, 577, 1731, 4039

Step-4: Factors of 12131

List of positive integer factors of 12131 that divides 12117 without a remainder.

1, 7, 1733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12117 and 12131. The biggest common factor number is the GCF number.
So the greatest common factor 12117 and 12131 is 7.

Also check out the Least Common Multiple of 12117 and 12131