What is the Greatest Common Factor of 13514 and 13532?

Greatest common factor (GCF) of 13514 and 13532 is 2.

GCF(13514,13532) = 2

We will now calculate the prime factors of 13514 and 13532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13514 and 13532.

How to find the GCF of 13514 and 13532?

We will first find the prime factorization of 13514 and 13532. After we will calculate the factors of 13514 and 13532 and find the biggest common factor number .

Step-1: Prime Factorization of 13514

Prime factors of 13514 are 2, 29, 233. Prime factorization of 13514 in exponential form is:

13514 = 2¹ × 29¹ × 233¹

Step-2: 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-3: Factors of 13514

List of positive integer factors of 13514 that divides 13514 without a remainder.

1, 2, 29, 58, 233, 466, 6757

Step-4: Factors of 13532

List of positive integer factors of 13532 that divides 13514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13514 and 13532. The biggest common factor number is the GCF number.
So the greatest common factor 13514 and 13532 is 2.

Also check out the Least Common Multiple of 13514 and 13532