What is the Greatest Common Factor of 60345 and 60352?

Greatest common factor (GCF) of 60345 and 60352 is 1.

GCF(60345,60352) = 1

We will now calculate the prime factors of 60345 and 60352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60345 and 60352.

How to find the GCF of 60345 and 60352?

We will first find the prime factorization of 60345 and 60352. After we will calculate the factors of 60345 and 60352 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 60352

Prime factors of 60352 are 2, 23, 41. Prime factorization of 60352 in exponential form is:

60352 = 2⁶ × 23¹ × 41¹

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 60352

List of positive integer factors of 60352 that divides 60345 without a remainder.

1, 2, 4, 8, 16, 23, 32, 41, 46, 64, 82, 92, 164, 184, 328, 368, 656, 736, 943, 1312, 1472, 1886, 2624, 3772, 7544, 15088, 30176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60345 and 60352. The biggest common factor number is the GCF number.
So the greatest common factor 60345 and 60352 is 1.

Also check out the Least Common Multiple of 60345 and 60352