What is the Greatest Common Factor of 15345 and 15354?

Greatest common factor (GCF) of 15345 and 15354 is 9.

GCF(15345,15354) = 9

We will now calculate the prime factors of 15345 and 15354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15345 and 15354.

How to find the GCF of 15345 and 15354?

We will first find the prime factorization of 15345 and 15354. After we will calculate the factors of 15345 and 15354 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 15354

Prime factors of 15354 are 2, 3, 853. Prime factorization of 15354 in exponential form is:

15354 = 2¹ × 3² × 853¹

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 15354

List of positive integer factors of 15354 that divides 15345 without a remainder.

1, 2, 3, 6, 9, 18, 853, 1706, 2559, 5118, 7677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15345 and 15354. The biggest common factor number is the GCF number.
So the greatest common factor 15345 and 15354 is 9.

Also check out the Least Common Multiple of 15345 and 15354