What is the Greatest Common Factor of 60345 and 60354?

Greatest common factor (GCF) of 60345 and 60354 is 9.

GCF(60345,60354) = 9

We will now calculate the prime factors of 60345 and 60354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60345 and 60354.

How to find the GCF of 60345 and 60354?

We will first find the prime factorization of 60345 and 60354. After we will calculate the factors of 60345 and 60354 and find the biggest common factor number .

Step-1: Prime Factorization of 60345

Prime factors of 60345 are 3, 5, 149. Prime factorization of 60345 in exponential form is:

60345 = 3⁴ × 5¹ × 149¹

Step-2: Prime Factorization of 60354

Prime factors of 60354 are 2, 3, 7, 479. Prime factorization of 60354 in exponential form is:

60354 = 2¹ × 3² × 7¹ × 479¹

Step-3: Factors of 60345

List of positive integer factors of 60345 that divides 60345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 149, 405, 447, 745, 1341, 2235, 4023, 6705, 12069, 20115

Step-4: Factors of 60354

List of positive integer factors of 60354 that divides 60345 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 479, 958, 1437, 2874, 3353, 4311, 6706, 8622, 10059, 20118, 30177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60345 and 60354. The biggest common factor number is the GCF number.
So the greatest common factor 60345 and 60354 is 9.

Also check out the Least Common Multiple of 60345 and 60354