What is the Greatest Common Factor of 13130 and 13136?

Greatest common factor (GCF) of 13130 and 13136 is 2.

GCF(13130,13136) = 2

We will now calculate the prime factors of 13130 and 13136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13130 and 13136.

How to find the GCF of 13130 and 13136?

We will first find the prime factorization of 13130 and 13136. After we will calculate the factors of 13130 and 13136 and find the biggest common factor number .

Step-1: Prime Factorization of 13130

Prime factors of 13130 are 2, 5, 13, 101. Prime factorization of 13130 in exponential form is:

13130 = 2¹ × 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 13136

Prime factors of 13136 are 2, 821. Prime factorization of 13136 in exponential form is:

13136 = 2⁴ × 821¹

Step-3: Factors of 13130

List of positive integer factors of 13130 that divides 13130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 101, 130, 202, 505, 1010, 1313, 2626, 6565

Step-4: Factors of 13136

List of positive integer factors of 13136 that divides 13130 without a remainder.

1, 2, 4, 8, 16, 821, 1642, 3284, 6568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13130 and 13136. The biggest common factor number is the GCF number.
So the greatest common factor 13130 and 13136 is 2.

Also check out the Least Common Multiple of 13130 and 13136