What is the Greatest Common Factor of 59370 and 59385?

Greatest common factor (GCF) of 59370 and 59385 is 15.

GCF(59370,59385) = 15

We will now calculate the prime factors of 59370 and 59385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59370 and 59385.

How to find the GCF of 59370 and 59385?

We will first find the prime factorization of 59370 and 59385. After we will calculate the factors of 59370 and 59385 and find the biggest common factor number .

Step-1: Prime Factorization of 59370

Prime factors of 59370 are 2, 3, 5, 1979. Prime factorization of 59370 in exponential form is:

59370 = 2¹ × 3¹ × 5¹ × 1979¹

Step-2: Prime Factorization of 59385

Prime factors of 59385 are 3, 5, 37, 107. Prime factorization of 59385 in exponential form is:

59385 = 3¹ × 5¹ × 37¹ × 107¹

Step-3: Factors of 59370

List of positive integer factors of 59370 that divides 59370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1979, 3958, 5937, 9895, 11874, 19790, 29685

Step-4: Factors of 59385

List of positive integer factors of 59385 that divides 59370 without a remainder.

1, 3, 5, 15, 37, 107, 111, 185, 321, 535, 555, 1605, 3959, 11877, 19795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59370 and 59385. The biggest common factor number is the GCF number.
So the greatest common factor 59370 and 59385 is 15.

Also check out the Least Common Multiple of 59370 and 59385