What is the Greatest Common Factor of 60335 and 60345?

Greatest common factor (GCF) of 60335 and 60345 is 5.

GCF(60335,60345) = 5

We will now calculate the prime factors of 60335 and 60345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60335 and 60345.

How to find the GCF of 60335 and 60345?

We will first find the prime factorization of 60335 and 60345. After we will calculate the factors of 60335 and 60345 and find the biggest common factor number .

Step-1: Prime Factorization of 60335

Prime factors of 60335 are 5, 11, 1097. Prime factorization of 60335 in exponential form is:

60335 = 5¹ × 11¹ × 1097¹

Step-2: 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-3: Factors of 60335

List of positive integer factors of 60335 that divides 60335 without a remainder.

1, 5, 11, 55, 1097, 5485, 12067

Step-4: Factors of 60345

List of positive integer factors of 60345 that divides 60335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60335 and 60345. The biggest common factor number is the GCF number.
So the greatest common factor 60335 and 60345 is 5.

Also check out the Least Common Multiple of 60335 and 60345