What is the Greatest Common Factor of 6345 and 6354?

Greatest common factor (GCF) of 6345 and 6354 is 9.

GCF(6345,6354) = 9

We will now calculate the prime factors of 6345 and 6354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6345 and 6354.

How to find the GCF of 6345 and 6354?

We will first find the prime factorization of 6345 and 6354. After we will calculate the factors of 6345 and 6354 and find the biggest common factor number .

Step-1: Prime Factorization of 6345

Prime factors of 6345 are 3, 5, 47. Prime factorization of 6345 in exponential form is:

6345 = 3³ × 5¹ × 47¹

Step-2: Prime Factorization of 6354

Prime factors of 6354 are 2, 3, 353. Prime factorization of 6354 in exponential form is:

6354 = 2¹ × 3² × 353¹

Step-3: Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115

Step-4: Factors of 6354

List of positive integer factors of 6354 that divides 6345 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6345 and 6354. The biggest common factor number is the GCF number.
So the greatest common factor 6345 and 6354 is 9.

Also check out the Least Common Multiple of 6345 and 6354