What is the Greatest Common Factor of 15345 and 15358?

Greatest common factor (GCF) of 15345 and 15358 is 1.

GCF(15345,15358) = 1

We will now calculate the prime factors of 15345 and 15358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15345 and 15358.

How to find the GCF of 15345 and 15358?

We will first find the prime factorization of 15345 and 15358. After we will calculate the factors of 15345 and 15358 and find the biggest common factor number .

Step-1: Prime Factorization of 15345

Prime factors of 15345 are 3, 5, 11, 31. Prime factorization of 15345 in exponential form is:

15345 = 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 15358

Prime factors of 15358 are 2, 7, 1097. Prime factorization of 15358 in exponential form is:

15358 = 2¹ × 7¹ × 1097¹

Step-3: Factors of 15345

List of positive integer factors of 15345 that divides 15345 without a remainder.

1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115

Step-4: Factors of 15358

List of positive integer factors of 15358 that divides 15345 without a remainder.

1, 2, 7, 14, 1097, 2194, 7679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15345 and 15358. The biggest common factor number is the GCF number.
So the greatest common factor 15345 and 15358 is 1.

Also check out the Least Common Multiple of 15345 and 15358