What is the Greatest Common Factor of 13510 and 13520?

Greatest common factor (GCF) of 13510 and 13520 is 10.

GCF(13510,13520) = 10

We will now calculate the prime factors of 13510 and 13520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13510 and 13520.

How to find the GCF of 13510 and 13520?

We will first find the prime factorization of 13510 and 13520. After we will calculate the factors of 13510 and 13520 and find the biggest common factor number .

Step-1: Prime Factorization of 13510

Prime factors of 13510 are 2, 5, 7, 193. Prime factorization of 13510 in exponential form is:

13510 = 2¹ × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 13520

Prime factors of 13520 are 2, 5, 13. Prime factorization of 13520 in exponential form is:

13520 = 2⁴ × 5¹ × 13²

Step-3: Factors of 13510

List of positive integer factors of 13510 that divides 13510 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 193, 386, 965, 1351, 1930, 2702, 6755

Step-4: Factors of 13520

List of positive integer factors of 13520 that divides 13510 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 169, 208, 260, 338, 520, 676, 845, 1040, 1352, 1690, 2704, 3380, 6760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13510 and 13520. The biggest common factor number is the GCF number.
So the greatest common factor 13510 and 13520 is 10.

Also check out the Least Common Multiple of 13510 and 13520