What is the Greatest Common Factor of 23730 and 23735?

Greatest common factor (GCF) of 23730 and 23735 is 5.

GCF(23730,23735) = 5

We will now calculate the prime factors of 23730 and 23735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23730 and 23735.

How to find the GCF of 23730 and 23735?

We will first find the prime factorization of 23730 and 23735. After we will calculate the factors of 23730 and 23735 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 23735

Prime factors of 23735 are 5, 47, 101. Prime factorization of 23735 in exponential form is:

23735 = 5¹ × 47¹ × 101¹

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 23735

List of positive integer factors of 23735 that divides 23730 without a remainder.

1, 5, 47, 101, 235, 505, 4747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23730 and 23735. The biggest common factor number is the GCF number.
So the greatest common factor 23730 and 23735 is 5.

Also check out the Least Common Multiple of 23730 and 23735