What is the Greatest Common Factor of 41730 and 41745?

Greatest common factor (GCF) of 41730 and 41745 is 15.

GCF(41730,41745) = 15

We will now calculate the prime factors of 41730 and 41745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41730 and 41745.

How to find the GCF of 41730 and 41745?

We will first find the prime factorization of 41730 and 41745. After we will calculate the factors of 41730 and 41745 and find the biggest common factor number .

Step-1: Prime Factorization of 41730

Prime factors of 41730 are 2, 3, 5, 13, 107. Prime factorization of 41730 in exponential form is:

41730 = 2¹ × 3¹ × 5¹ × 13¹ × 107¹

Step-2: Prime Factorization of 41745

Prime factors of 41745 are 3, 5, 11, 23. Prime factorization of 41745 in exponential form is:

41745 = 3¹ × 5¹ × 11² × 23¹

Step-3: Factors of 41730

List of positive integer factors of 41730 that divides 41730 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 107, 130, 195, 214, 321, 390, 535, 642, 1070, 1391, 1605, 2782, 3210, 4173, 6955, 8346, 13910, 20865

Step-4: Factors of 41745

List of positive integer factors of 41745 that divides 41730 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 121, 165, 253, 345, 363, 605, 759, 1265, 1815, 2783, 3795, 8349, 13915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41730 and 41745. The biggest common factor number is the GCF number.
So the greatest common factor 41730 and 41745 is 15.

Also check out the Least Common Multiple of 41730 and 41745