What is the Greatest Common Factor of 12084 and 12103?

Greatest common factor (GCF) of 12084 and 12103 is 19.

GCF(12084,12103) = 19

We will now calculate the prime factors of 12084 and 12103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12084 and 12103.

How to find the GCF of 12084 and 12103?

We will first find the prime factorization of 12084 and 12103. After we will calculate the factors of 12084 and 12103 and find the biggest common factor number .

Step-1: Prime Factorization of 12084

Prime factors of 12084 are 2, 3, 19, 53. Prime factorization of 12084 in exponential form is:

12084 = 2² × 3¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 12084

List of positive integer factors of 12084 that divides 12084 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 53, 57, 76, 106, 114, 159, 212, 228, 318, 636, 1007, 2014, 3021, 4028, 6042

Step-4: Factors of 12103

List of positive integer factors of 12103 that divides 12084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12084 and 12103. The biggest common factor number is the GCF number.
So the greatest common factor 12084 and 12103 is 19.

Also check out the Least Common Multiple of 12084 and 12103