What is the Greatest Common Factor of 13650 and 13660?

Greatest common factor (GCF) of 13650 and 13660 is 10.

GCF(13650,13660) = 10

We will now calculate the prime factors of 13650 and 13660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13650 and 13660.

How to find the GCF of 13650 and 13660?

We will first find the prime factorization of 13650 and 13660. After we will calculate the factors of 13650 and 13660 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 13660

Prime factors of 13660 are 2, 5, 683. Prime factorization of 13660 in exponential form is:

13660 = 2² × 5¹ × 683¹

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 13660

List of positive integer factors of 13660 that divides 13650 without a remainder.

1, 2, 4, 5, 10, 20, 683, 1366, 2732, 3415, 6830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13650 and 13660. The biggest common factor number is the GCF number.
So the greatest common factor 13650 and 13660 is 10.

Also check out the Least Common Multiple of 13650 and 13660