What is the Greatest Common Factor of 24710 and 24725?

Greatest common factor (GCF) of 24710 and 24725 is 5.

GCF(24710,24725) = 5

We will now calculate the prime factors of 24710 and 24725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24710 and 24725.

How to find the GCF of 24710 and 24725?

We will first find the prime factorization of 24710 and 24725. After we will calculate the factors of 24710 and 24725 and find the biggest common factor number .

Step-1: Prime Factorization of 24710

Prime factors of 24710 are 2, 5, 7, 353. Prime factorization of 24710 in exponential form is:

24710 = 2¹ × 5¹ × 7¹ × 353¹

Step-2: 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-3: Factors of 24710

List of positive integer factors of 24710 that divides 24710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 353, 706, 1765, 2471, 3530, 4942, 12355

Step-4: Factors of 24725

List of positive integer factors of 24725 that divides 24710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24710 and 24725. The biggest common factor number is the GCF number.
So the greatest common factor 24710 and 24725 is 5.

Also check out the Least Common Multiple of 24710 and 24725