What is the Greatest Common Factor of 13598 and 13610?

Greatest common factor (GCF) of 13598 and 13610 is 2.

GCF(13598,13610) = 2

We will now calculate the prime factors of 13598 and 13610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13598 and 13610.

How to find the GCF of 13598 and 13610?

We will first find the prime factorization of 13598 and 13610. After we will calculate the factors of 13598 and 13610 and find the biggest common factor number .

Step-1: Prime Factorization of 13598

Prime factors of 13598 are 2, 13, 523. Prime factorization of 13598 in exponential form is:

13598 = 2¹ × 13¹ × 523¹

Step-2: Prime Factorization of 13610

Prime factors of 13610 are 2, 5, 1361. Prime factorization of 13610 in exponential form is:

13610 = 2¹ × 5¹ × 1361¹

Step-3: Factors of 13598

List of positive integer factors of 13598 that divides 13598 without a remainder.

1, 2, 13, 26, 523, 1046, 6799

Step-4: Factors of 13610

List of positive integer factors of 13610 that divides 13598 without a remainder.

1, 2, 5, 10, 1361, 2722, 6805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13598 and 13610. The biggest common factor number is the GCF number.
So the greatest common factor 13598 and 13610 is 2.

Also check out the Least Common Multiple of 13598 and 13610