What is the Greatest Common Factor of 13075 and 13090?

Greatest common factor (GCF) of 13075 and 13090 is 5.

GCF(13075,13090) = 5

We will now calculate the prime factors of 13075 and 13090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13075 and 13090.

How to find the GCF of 13075 and 13090?

We will first find the prime factorization of 13075 and 13090. After we will calculate the factors of 13075 and 13090 and find the biggest common factor number .

Step-1: Prime Factorization of 13075

Prime factors of 13075 are 5, 523. Prime factorization of 13075 in exponential form is:

13075 = 5² × 523¹

Step-2: Prime Factorization of 13090

Prime factors of 13090 are 2, 5, 7, 11, 17. Prime factorization of 13090 in exponential form is:

13090 = 2¹ × 5¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 13075

List of positive integer factors of 13075 that divides 13075 without a remainder.

1, 5, 25, 523, 2615

Step-4: Factors of 13090

List of positive integer factors of 13090 that divides 13075 without a remainder.

1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 374, 385, 595, 770, 935, 1190, 1309, 1870, 2618, 6545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13075 and 13090. The biggest common factor number is the GCF number.
So the greatest common factor 13075 and 13090 is 5.

Also check out the Least Common Multiple of 13075 and 13090