What is the Greatest Common Factor of 15340 and 15353?

Greatest common factor (GCF) of 15340 and 15353 is 13.

GCF(15340,15353) = 13

We will now calculate the prime factors of 15340 and 15353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15340 and 15353.

How to find the GCF of 15340 and 15353?

We will first find the prime factorization of 15340 and 15353. After we will calculate the factors of 15340 and 15353 and find the biggest common factor number .

Step-1: Prime Factorization of 15340

Prime factors of 15340 are 2, 5, 13, 59. Prime factorization of 15340 in exponential form is:

15340 = 2² × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 15353

Prime factors of 15353 are 13, 1181. Prime factorization of 15353 in exponential form is:

15353 = 13¹ × 1181¹

Step-3: Factors of 15340

List of positive integer factors of 15340 that divides 15340 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670

Step-4: Factors of 15353

List of positive integer factors of 15353 that divides 15340 without a remainder.

1, 13, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15340 and 15353. The biggest common factor number is the GCF number.
So the greatest common factor 15340 and 15353 is 13.

Also check out the Least Common Multiple of 15340 and 15353