What is the Greatest Common Factor of 24735 and 24741?

Greatest common factor (GCF) of 24735 and 24741 is 3.

GCF(24735,24741) = 3

We will now calculate the prime factors of 24735 and 24741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24735 and 24741.

How to find the GCF of 24735 and 24741?

We will first find the prime factorization of 24735 and 24741. After we will calculate the factors of 24735 and 24741 and find the biggest common factor number .

Step-1: Prime Factorization of 24735

Prime factors of 24735 are 3, 5, 17, 97. Prime factorization of 24735 in exponential form is:

24735 = 3¹ × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 24741

Prime factors of 24741 are 3, 2749. Prime factorization of 24741 in exponential form is:

24741 = 3² × 2749¹

Step-3: Factors of 24735

List of positive integer factors of 24735 that divides 24735 without a remainder.

1, 3, 5, 15, 17, 51, 85, 97, 255, 291, 485, 1455, 1649, 4947, 8245

Step-4: Factors of 24741

List of positive integer factors of 24741 that divides 24735 without a remainder.

1, 3, 9, 2749, 8247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24735 and 24741. The biggest common factor number is the GCF number.
So the greatest common factor 24735 and 24741 is 3.

Also check out the Least Common Multiple of 24735 and 24741