What is the Greatest Common Factor of 24729 and 24745?

Greatest common factor (GCF) of 24729 and 24745 is 1.

GCF(24729,24745) = 1

We will now calculate the prime factors of 24729 and 24745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24729 and 24745.

How to find the GCF of 24729 and 24745?

We will first find the prime factorization of 24729 and 24745. After we will calculate the factors of 24729 and 24745 and find the biggest common factor number .

Step-1: Prime Factorization of 24729

Prime factors of 24729 are 3, 8243. Prime factorization of 24729 in exponential form is:

24729 = 3¹ × 8243¹

Step-2: Prime Factorization of 24745

Prime factors of 24745 are 5, 7, 101. Prime factorization of 24745 in exponential form is:

24745 = 5¹ × 7² × 101¹

Step-3: Factors of 24729

List of positive integer factors of 24729 that divides 24729 without a remainder.

1, 3, 8243

Step-4: Factors of 24745

List of positive integer factors of 24745 that divides 24729 without a remainder.

1, 5, 7, 35, 49, 101, 245, 505, 707, 3535, 4949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24729 and 24745. The biggest common factor number is the GCF number.
So the greatest common factor 24729 and 24745 is 1.

Also check out the Least Common Multiple of 24729 and 24745