What is the Greatest Common Factor of 13545 and 13559?

Greatest common factor (GCF) of 13545 and 13559 is 7.

GCF(13545,13559) = 7

We will now calculate the prime factors of 13545 and 13559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13545 and 13559.

How to find the GCF of 13545 and 13559?

We will first find the prime factorization of 13545 and 13559. After we will calculate the factors of 13545 and 13559 and find the biggest common factor number .

Step-1: Prime Factorization of 13545

Prime factors of 13545 are 3, 5, 7, 43. Prime factorization of 13545 in exponential form is:

13545 = 3² × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 13559

Prime factors of 13559 are 7, 13, 149. Prime factorization of 13559 in exponential form is:

13559 = 7¹ × 13¹ × 149¹

Step-3: Factors of 13545

List of positive integer factors of 13545 that divides 13545 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 63, 105, 129, 215, 301, 315, 387, 645, 903, 1505, 1935, 2709, 4515

Step-4: Factors of 13559

List of positive integer factors of 13559 that divides 13545 without a remainder.

1, 7, 13, 91, 149, 1043, 1937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13545 and 13559. The biggest common factor number is the GCF number.
So the greatest common factor 13545 and 13559 is 7.

Also check out the Least Common Multiple of 13545 and 13559