What is the Greatest Common Factor of 12103 and 12116?

Greatest common factor (GCF) of 12103 and 12116 is 13.

GCF(12103,12116) = 13

We will now calculate the prime factors of 12103 and 12116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12103 and 12116.

How to find the GCF of 12103 and 12116?

We will first find the prime factorization of 12103 and 12116. After we will calculate the factors of 12103 and 12116 and find the biggest common factor number .

Step-1: Prime Factorization of 12103

Prime factors of 12103 are 7, 13, 19. Prime factorization of 12103 in exponential form is:

12103 = 7² × 13¹ × 19¹

Step-2: Prime Factorization of 12116

Prime factors of 12116 are 2, 13, 233. Prime factorization of 12116 in exponential form is:

12116 = 2² × 13¹ × 233¹

Step-3: Factors of 12103

List of positive integer factors of 12103 that divides 12103 without a remainder.

1, 7, 13, 19, 49, 91, 133, 247, 637, 931, 1729

Step-4: Factors of 12116

List of positive integer factors of 12116 that divides 12103 without a remainder.

1, 2, 4, 13, 26, 52, 233, 466, 932, 3029, 6058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12103 and 12116. The biggest common factor number is the GCF number.
So the greatest common factor 12103 and 12116 is 13.

Also check out the Least Common Multiple of 12103 and 12116