What is the Greatest Common Factor of 13598 and 13602?

Greatest common factor (GCF) of 13598 and 13602 is 2.

GCF(13598,13602) = 2

We will now calculate the prime factors of 13598 and 13602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13598 and 13602.

How to find the GCF of 13598 and 13602?

We will first find the prime factorization of 13598 and 13602. After we will calculate the factors of 13598 and 13602 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 13602

Prime factors of 13602 are 2, 3, 2267. Prime factorization of 13602 in exponential form is:

13602 = 2¹ × 3¹ × 2267¹

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 13602

List of positive integer factors of 13602 that divides 13598 without a remainder.

1, 2, 3, 6, 2267, 4534, 6801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13598 and 13602. The biggest common factor number is the GCF number.
So the greatest common factor 13598 and 13602 is 2.

Also check out the Least Common Multiple of 13598 and 13602