What is the Greatest Common Factor of 23735 and 23740?

Greatest common factor (GCF) of 23735 and 23740 is 5.

GCF(23735,23740) = 5

We will now calculate the prime factors of 23735 and 23740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23735 and 23740.

How to find the GCF of 23735 and 23740?

We will first find the prime factorization of 23735 and 23740. After we will calculate the factors of 23735 and 23740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23740

Prime factors of 23740 are 2, 5, 1187. Prime factorization of 23740 in exponential form is:

23740 = 2² × 5¹ × 1187¹

Step-3: Factors of 23735

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

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

Step-4: Factors of 23740

List of positive integer factors of 23740 that divides 23735 without a remainder.

1, 2, 4, 5, 10, 20, 1187, 2374, 4748, 5935, 11870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23735 and 23740. The biggest common factor number is the GCF number.
So the greatest common factor 23735 and 23740 is 5.

Also check out the Least Common Multiple of 23735 and 23740