What is the Greatest Common Factor of 13130 and 13135?

Greatest common factor (GCF) of 13130 and 13135 is 5.

GCF(13130,13135) = 5

We will now calculate the prime factors of 13130 and 13135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13130 and 13135.

How to find the GCF of 13130 and 13135?

We will first find the prime factorization of 13130 and 13135. After we will calculate the factors of 13130 and 13135 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 13135

Prime factors of 13135 are 5, 37, 71. Prime factorization of 13135 in exponential form is:

13135 = 5¹ × 37¹ × 71¹

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 13135

List of positive integer factors of 13135 that divides 13130 without a remainder.

1, 5, 37, 71, 185, 355, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13130 and 13135. The biggest common factor number is the GCF number.
So the greatest common factor 13130 and 13135 is 5.

Also check out the Least Common Multiple of 13130 and 13135