What is the Greatest Common Factor of 24725 and 24735?

Greatest common factor (GCF) of 24725 and 24735 is 5.

GCF(24725,24735) = 5

We will now calculate the prime factors of 24725 and 24735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24725 and 24735.

How to find the GCF of 24725 and 24735?

We will first find the prime factorization of 24725 and 24735. After we will calculate the factors of 24725 and 24735 and find the biggest common factor number .

Step-1: Prime Factorization of 24725

Prime factors of 24725 are 5, 23, 43. Prime factorization of 24725 in exponential form is:

24725 = 5² × 23¹ × 43¹

Step-2: 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-3: Factors of 24725

List of positive integer factors of 24725 that divides 24725 without a remainder.

1, 5, 23, 25, 43, 115, 215, 575, 989, 1075, 4945

Step-4: Factors of 24735

List of positive integer factors of 24735 that divides 24725 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24725 and 24735. The biggest common factor number is the GCF number.
So the greatest common factor 24725 and 24735 is 5.

Also check out the Least Common Multiple of 24725 and 24735