What is the Greatest Common Factor of 13375 and 13390?

Greatest common factor (GCF) of 13375 and 13390 is 5.

GCF(13375,13390) = 5

We will now calculate the prime factors of 13375 and 13390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13375 and 13390.

How to find the GCF of 13375 and 13390?

We will first find the prime factorization of 13375 and 13390. After we will calculate the factors of 13375 and 13390 and find the biggest common factor number .

Step-1: Prime Factorization of 13375

Prime factors of 13375 are 5, 107. Prime factorization of 13375 in exponential form is:

13375 = 5³ × 107¹

Step-2: Prime Factorization of 13390

Prime factors of 13390 are 2, 5, 13, 103. Prime factorization of 13390 in exponential form is:

13390 = 2¹ × 5¹ × 13¹ × 103¹

Step-3: Factors of 13375

List of positive integer factors of 13375 that divides 13375 without a remainder.

1, 5, 25, 107, 125, 535, 2675

Step-4: Factors of 13390

List of positive integer factors of 13390 that divides 13375 without a remainder.

1, 2, 5, 10, 13, 26, 65, 103, 130, 206, 515, 1030, 1339, 2678, 6695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13375 and 13390. The biggest common factor number is the GCF number.
So the greatest common factor 13375 and 13390 is 5.

Also check out the Least Common Multiple of 13375 and 13390