What is the Greatest Common Factor of 23725 and 23733?

Greatest common factor (GCF) of 23725 and 23733 is 1.

GCF(23725,23733) = 1

We will now calculate the prime factors of 23725 and 23733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23725 and 23733.

How to find the GCF of 23725 and 23733?

We will first find the prime factorization of 23725 and 23733. After we will calculate the factors of 23725 and 23733 and find the biggest common factor number .

Step-1: Prime Factorization of 23725

Prime factors of 23725 are 5, 13, 73. Prime factorization of 23725 in exponential form is:

23725 = 5² × 13¹ × 73¹

Step-2: Prime Factorization of 23733

Prime factors of 23733 are 3, 293. Prime factorization of 23733 in exponential form is:

23733 = 3⁴ × 293¹

Step-3: Factors of 23725

List of positive integer factors of 23725 that divides 23725 without a remainder.

1, 5, 13, 25, 65, 73, 325, 365, 949, 1825, 4745

Step-4: Factors of 23733

List of positive integer factors of 23733 that divides 23725 without a remainder.

1, 3, 9, 27, 81, 293, 879, 2637, 7911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23725 and 23733. The biggest common factor number is the GCF number.
So the greatest common factor 23725 and 23733 is 1.

Also check out the Least Common Multiple of 23725 and 23733