What is the Greatest Common Factor of 13475 and 13480?

Greatest common factor (GCF) of 13475 and 13480 is 5.

GCF(13475,13480) = 5

We will now calculate the prime factors of 13475 and 13480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13475 and 13480.

How to find the GCF of 13475 and 13480?

We will first find the prime factorization of 13475 and 13480. After we will calculate the factors of 13475 and 13480 and find the biggest common factor number .

Step-1: Prime Factorization of 13475

Prime factors of 13475 are 5, 7, 11. Prime factorization of 13475 in exponential form is:

13475 = 5² × 7² × 11¹

Step-2: Prime Factorization of 13480

Prime factors of 13480 are 2, 5, 337. Prime factorization of 13480 in exponential form is:

13480 = 2³ × 5¹ × 337¹

Step-3: Factors of 13475

List of positive integer factors of 13475 that divides 13475 without a remainder.

1, 5, 7, 11, 25, 35, 49, 55, 77, 175, 245, 275, 385, 539, 1225, 1925, 2695

Step-4: Factors of 13480

List of positive integer factors of 13480 that divides 13475 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13475 and 13480. The biggest common factor number is the GCF number.
So the greatest common factor 13475 and 13480 is 5.

Also check out the Least Common Multiple of 13475 and 13480