What is the Greatest Common Factor of 13530 and 13550?

Greatest common factor (GCF) of 13530 and 13550 is 10.

GCF(13530,13550) = 10

We will now calculate the prime factors of 13530 and 13550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13530 and 13550.

How to find the GCF of 13530 and 13550?

We will first find the prime factorization of 13530 and 13550. After we will calculate the factors of 13530 and 13550 and find the biggest common factor number .

Step-1: Prime Factorization of 13530

Prime factors of 13530 are 2, 3, 5, 11, 41. Prime factorization of 13530 in exponential form is:

13530 = 2¹ × 3¹ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 13550

Prime factors of 13550 are 2, 5, 271. Prime factorization of 13550 in exponential form is:

13550 = 2¹ × 5² × 271¹

Step-3: Factors of 13530

List of positive integer factors of 13530 that divides 13530 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 41, 55, 66, 82, 110, 123, 165, 205, 246, 330, 410, 451, 615, 902, 1230, 1353, 2255, 2706, 4510, 6765

Step-4: Factors of 13550

List of positive integer factors of 13550 that divides 13530 without a remainder.

1, 2, 5, 10, 25, 50, 271, 542, 1355, 2710, 6775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13530 and 13550. The biggest common factor number is the GCF number.
So the greatest common factor 13530 and 13550 is 10.

Also check out the Least Common Multiple of 13530 and 13550