What is the Greatest Common Factor of 24735 and 24740?

Greatest common factor (GCF) of 24735 and 24740 is 5.

GCF(24735,24740) = 5

We will now calculate the prime factors of 24735 and 24740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24735 and 24740.

How to find the GCF of 24735 and 24740?

We will first find the prime factorization of 24735 and 24740. After we will calculate the factors of 24735 and 24740 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 24740

Prime factors of 24740 are 2, 5, 1237. Prime factorization of 24740 in exponential form is:

24740 = 2² × 5¹ × 1237¹

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 24740

List of positive integer factors of 24740 that divides 24735 without a remainder.

1, 2, 4, 5, 10, 20, 1237, 2474, 4948, 6185, 12370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24735 and 24740. The biggest common factor number is the GCF number.
So the greatest common factor 24735 and 24740 is 5.

Also check out the Least Common Multiple of 24735 and 24740