What is the Greatest Common Factor of 23730 and 23745?

Greatest common factor (GCF) of 23730 and 23745 is 15.

GCF(23730,23745) = 15

We will now calculate the prime factors of 23730 and 23745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23730 and 23745.

How to find the GCF of 23730 and 23745?

We will first find the prime factorization of 23730 and 23745. After we will calculate the factors of 23730 and 23745 and find the biggest common factor number .

Step-1: Prime Factorization of 23730

Prime factors of 23730 are 2, 3, 5, 7, 113. Prime factorization of 23730 in exponential form is:

23730 = 2¹ × 3¹ × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 23745

Prime factors of 23745 are 3, 5, 1583. Prime factorization of 23745 in exponential form is:

23745 = 3¹ × 5¹ × 1583¹

Step-3: Factors of 23730

List of positive integer factors of 23730 that divides 23730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 113, 210, 226, 339, 565, 678, 791, 1130, 1582, 1695, 2373, 3390, 3955, 4746, 7910, 11865

Step-4: Factors of 23745

List of positive integer factors of 23745 that divides 23730 without a remainder.

1, 3, 5, 15, 1583, 4749, 7915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23730 and 23745. The biggest common factor number is the GCF number.
So the greatest common factor 23730 and 23745 is 15.

Also check out the Least Common Multiple of 23730 and 23745