What is the Greatest Common Factor of 13650 and 13663?

Greatest common factor (GCF) of 13650 and 13663 is 13.

GCF(13650,13663) = 13

We will now calculate the prime factors of 13650 and 13663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13650 and 13663.

How to find the GCF of 13650 and 13663?

We will first find the prime factorization of 13650 and 13663. After we will calculate the factors of 13650 and 13663 and find the biggest common factor number .

Step-1: Prime Factorization of 13650

Prime factors of 13650 are 2, 3, 5, 7, 13. Prime factorization of 13650 in exponential form is:

13650 = 2¹ × 3¹ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 13663

Prime factors of 13663 are 13, 1051. Prime factorization of 13663 in exponential form is:

13663 = 13¹ × 1051¹

Step-3: Factors of 13650

List of positive integer factors of 13650 that divides 13650 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39, 42, 50, 65, 70, 75, 78, 91, 105, 130, 150, 175, 182, 195, 210, 273, 325, 350, 390, 455, 525, 546, 650, 910, 975, 1050, 1365, 1950, 2275, 2730, 4550, 6825

Step-4: Factors of 13663

List of positive integer factors of 13663 that divides 13650 without a remainder.

1, 13, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13650 and 13663. The biggest common factor number is the GCF number.
So the greatest common factor 13650 and 13663 is 13.

Also check out the Least Common Multiple of 13650 and 13663