What is the Greatest Common Factor of 13489 and 13496?

Greatest common factor (GCF) of 13489 and 13496 is 7.

GCF(13489,13496) = 7

We will now calculate the prime factors of 13489 and 13496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13489 and 13496.

How to find the GCF of 13489 and 13496?

We will first find the prime factorization of 13489 and 13496. After we will calculate the factors of 13489 and 13496 and find the biggest common factor number .

Step-1: Prime Factorization of 13489

Prime factors of 13489 are 7, 41, 47. Prime factorization of 13489 in exponential form is:

13489 = 7¹ × 41¹ × 47¹

Step-2: Prime Factorization of 13496

Prime factors of 13496 are 2, 7, 241. Prime factorization of 13496 in exponential form is:

13496 = 2³ × 7¹ × 241¹

Step-3: Factors of 13489

List of positive integer factors of 13489 that divides 13489 without a remainder.

1, 7, 41, 47, 287, 329, 1927

Step-4: Factors of 13496

List of positive integer factors of 13496 that divides 13489 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 241, 482, 964, 1687, 1928, 3374, 6748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13489 and 13496. The biggest common factor number is the GCF number.
So the greatest common factor 13489 and 13496 is 7.

Also check out the Least Common Multiple of 13489 and 13496