What is the Greatest Common Factor of 13532 and 13550?

Greatest common factor (GCF) of 13532 and 13550 is 2.

GCF(13532,13550) = 2

We will now calculate the prime factors of 13532 and 13550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13532 and 13550.

How to find the GCF of 13532 and 13550?

We will first find the prime factorization of 13532 and 13550. After we will calculate the factors of 13532 and 13550 and find the biggest common factor number .

Step-1: Prime Factorization of 13532

Prime factors of 13532 are 2, 17, 199. Prime factorization of 13532 in exponential form is:

13532 = 2² × 17¹ × 199¹

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 13532

List of positive integer factors of 13532 that divides 13532 without a remainder.

1, 2, 4, 17, 34, 68, 199, 398, 796, 3383, 6766

Step-4: Factors of 13550

List of positive integer factors of 13550 that divides 13532 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 13532 and 13550. The biggest common factor number is the GCF number.
So the greatest common factor 13532 and 13550 is 2.

Also check out the Least Common Multiple of 13532 and 13550