What is the Greatest Common Factor of 13070 and 13075?

Greatest common factor (GCF) of 13070 and 13075 is 5.

GCF(13070,13075) = 5

We will now calculate the prime factors of 13070 and 13075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13070 and 13075.

How to find the GCF of 13070 and 13075?

We will first find the prime factorization of 13070 and 13075. After we will calculate the factors of 13070 and 13075 and find the biggest common factor number .

Step-1: Prime Factorization of 13070

Prime factors of 13070 are 2, 5, 1307. Prime factorization of 13070 in exponential form is:

13070 = 2¹ × 5¹ × 1307¹

Step-2: Prime Factorization of 13075

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

13075 = 5² × 523¹

Step-3: Factors of 13070

List of positive integer factors of 13070 that divides 13070 without a remainder.

1, 2, 5, 10, 1307, 2614, 6535

Step-4: Factors of 13075

List of positive integer factors of 13075 that divides 13070 without a remainder.

1, 5, 25, 523, 2615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13070 and 13075. The biggest common factor number is the GCF number.
So the greatest common factor 13070 and 13075 is 5.

Also check out the Least Common Multiple of 13070 and 13075