What is the Greatest Common Factor of 13225 and 13240?

Greatest common factor (GCF) of 13225 and 13240 is 5.

GCF(13225,13240) = 5

We will now calculate the prime factors of 13225 and 13240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13225 and 13240.

How to find the GCF of 13225 and 13240?

We will first find the prime factorization of 13225 and 13240. After we will calculate the factors of 13225 and 13240 and find the biggest common factor number .

Step-1: Prime Factorization of 13225

Prime factors of 13225 are 5, 23. Prime factorization of 13225 in exponential form is:

13225 = 5² × 23²

Step-2: Prime Factorization of 13240

Prime factors of 13240 are 2, 5, 331. Prime factorization of 13240 in exponential form is:

13240 = 2³ × 5¹ × 331¹

Step-3: Factors of 13225

List of positive integer factors of 13225 that divides 13225 without a remainder.

1, 5, 23, 25, 115, 529, 575, 2645

Step-4: Factors of 13240

List of positive integer factors of 13240 that divides 13225 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 331, 662, 1324, 1655, 2648, 3310, 6620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13225 and 13240. The biggest common factor number is the GCF number.
So the greatest common factor 13225 and 13240 is 5.

Also check out the Least Common Multiple of 13225 and 13240