What is the Greatest Common Factor of 23745 and 23753?

Greatest common factor (GCF) of 23745 and 23753 is 1.

GCF(23745,23753) = 1

We will now calculate the prime factors of 23745 and 23753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23745 and 23753.

How to find the GCF of 23745 and 23753?

We will first find the prime factorization of 23745 and 23753. After we will calculate the factors of 23745 and 23753 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23753

Prime factors of 23753 are 23753. Prime factorization of 23753 in exponential form is:

23753 = 23753¹

Step-3: Factors of 23745

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

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

Step-4: Factors of 23753

List of positive integer factors of 23753 that divides 23745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23745 and 23753. The biggest common factor number is the GCF number.
So the greatest common factor 23745 and 23753 is 1.

Also check out the Least Common Multiple of 23745 and 23753