What is the Greatest Common Factor of 24735 and 24749?

Greatest common factor (GCF) of 24735 and 24749 is 1.

GCF(24735,24749) = 1

We will now calculate the prime factors of 24735 and 24749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24735 and 24749.

How to find the GCF of 24735 and 24749?

We will first find the prime factorization of 24735 and 24749. After we will calculate the factors of 24735 and 24749 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 24749

Prime factors of 24749 are 24749. Prime factorization of 24749 in exponential form is:

24749 = 24749¹

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 24749

List of positive integer factors of 24749 that divides 24735 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24735 and 24749. The biggest common factor number is the GCF number.
So the greatest common factor 24735 and 24749 is 1.

Also check out the Least Common Multiple of 24735 and 24749