What is the Greatest Common Factor of 18603 and 18616?

Greatest common factor (GCF) of 18603 and 18616 is 13.

GCF(18603,18616) = 13

We will now calculate the prime factors of 18603 and 18616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18603 and 18616.

How to find the GCF of 18603 and 18616?

We will first find the prime factorization of 18603 and 18616. After we will calculate the factors of 18603 and 18616 and find the biggest common factor number .

Step-1: Prime Factorization of 18603

Prime factors of 18603 are 3, 13, 53. Prime factorization of 18603 in exponential form is:

18603 = 3³ × 13¹ × 53¹

Step-2: Prime Factorization of 18616

Prime factors of 18616 are 2, 13, 179. Prime factorization of 18616 in exponential form is:

18616 = 2³ × 13¹ × 179¹

Step-3: Factors of 18603

List of positive integer factors of 18603 that divides 18603 without a remainder.

1, 3, 9, 13, 27, 39, 53, 117, 159, 351, 477, 689, 1431, 2067, 6201

Step-4: Factors of 18616

List of positive integer factors of 18616 that divides 18603 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 179, 358, 716, 1432, 2327, 4654, 9308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18603 and 18616. The biggest common factor number is the GCF number.
So the greatest common factor 18603 and 18616 is 13.

Also check out the Least Common Multiple of 18603 and 18616