What is the Greatest Common Factor of 59730 and 59745?

Greatest common factor (GCF) of 59730 and 59745 is 15.

GCF(59730,59745) = 15

We will now calculate the prime factors of 59730 and 59745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59730 and 59745.

How to find the GCF of 59730 and 59745?

We will first find the prime factorization of 59730 and 59745. After we will calculate the factors of 59730 and 59745 and find the biggest common factor number .

Step-1: Prime Factorization of 59730

Prime factors of 59730 are 2, 3, 5, 11, 181. Prime factorization of 59730 in exponential form is:

59730 = 2¹ × 3¹ × 5¹ × 11¹ × 181¹

Step-2: Prime Factorization of 59745

Prime factors of 59745 are 3, 5, 7, 569. Prime factorization of 59745 in exponential form is:

59745 = 3¹ × 5¹ × 7¹ × 569¹

Step-3: Factors of 59730

List of positive integer factors of 59730 that divides 59730 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 181, 330, 362, 543, 905, 1086, 1810, 1991, 2715, 3982, 5430, 5973, 9955, 11946, 19910, 29865

Step-4: Factors of 59745

List of positive integer factors of 59745 that divides 59730 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 569, 1707, 2845, 3983, 8535, 11949, 19915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59730 and 59745. The biggest common factor number is the GCF number.
So the greatest common factor 59730 and 59745 is 15.

Also check out the Least Common Multiple of 59730 and 59745