What is the Greatest Common Factor of 12603 and 12616?

Greatest common factor (GCF) of 12603 and 12616 is 1.

GCF(12603,12616) = 1

We will now calculate the prime factors of 12603 and 12616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12603 and 12616.

How to find the GCF of 12603 and 12616?

We will first find the prime factorization of 12603 and 12616. After we will calculate the factors of 12603 and 12616 and find the biggest common factor number .

Step-1: Prime Factorization of 12603

Prime factors of 12603 are 3, 4201. Prime factorization of 12603 in exponential form is:

12603 = 3¹ × 4201¹

Step-2: Prime Factorization of 12616

Prime factors of 12616 are 2, 19, 83. Prime factorization of 12616 in exponential form is:

12616 = 2³ × 19¹ × 83¹

Step-3: Factors of 12603

List of positive integer factors of 12603 that divides 12603 without a remainder.

1, 3, 4201

Step-4: Factors of 12616

List of positive integer factors of 12616 that divides 12603 without a remainder.

1, 2, 4, 8, 19, 38, 76, 83, 152, 166, 332, 664, 1577, 3154, 6308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12603 and 12616. The biggest common factor number is the GCF number.
So the greatest common factor 12603 and 12616 is 1.

Also check out the Least Common Multiple of 12603 and 12616