What is the Greatest Common Factor of 13030 and 13045?

Greatest common factor (GCF) of 13030 and 13045 is 5.

GCF(13030,13045) = 5

We will now calculate the prime factors of 13030 and 13045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13030 and 13045.

How to find the GCF of 13030 and 13045?

We will first find the prime factorization of 13030 and 13045. After we will calculate the factors of 13030 and 13045 and find the biggest common factor number .

Step-1: Prime Factorization of 13030

Prime factors of 13030 are 2, 5, 1303. Prime factorization of 13030 in exponential form is:

13030 = 2¹ × 5¹ × 1303¹

Step-2: Prime Factorization of 13045

Prime factors of 13045 are 5, 2609. Prime factorization of 13045 in exponential form is:

13045 = 5¹ × 2609¹

Step-3: Factors of 13030

List of positive integer factors of 13030 that divides 13030 without a remainder.

1, 2, 5, 10, 1303, 2606, 6515

Step-4: Factors of 13045

List of positive integer factors of 13045 that divides 13030 without a remainder.

1, 5, 2609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13030 and 13045. The biggest common factor number is the GCF number.
So the greatest common factor 13030 and 13045 is 5.

Also check out the Least Common Multiple of 13030 and 13045