What is the Greatest Common Factor of 24425 and 24440?

Greatest common factor (GCF) of 24425 and 24440 is 5.

GCF(24425,24440) = 5

We will now calculate the prime factors of 24425 and 24440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24425 and 24440.

How to find the GCF of 24425 and 24440?

We will first find the prime factorization of 24425 and 24440. After we will calculate the factors of 24425 and 24440 and find the biggest common factor number .

Step-1: Prime Factorization of 24425

Prime factors of 24425 are 5, 977. Prime factorization of 24425 in exponential form is:

24425 = 5² × 977¹

Step-2: Prime Factorization of 24440

Prime factors of 24440 are 2, 5, 13, 47. Prime factorization of 24440 in exponential form is:

24440 = 2³ × 5¹ × 13¹ × 47¹

Step-3: Factors of 24425

List of positive integer factors of 24425 that divides 24425 without a remainder.

1, 5, 25, 977, 4885

Step-4: Factors of 24440

List of positive integer factors of 24440 that divides 24425 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 47, 52, 65, 94, 104, 130, 188, 235, 260, 376, 470, 520, 611, 940, 1222, 1880, 2444, 3055, 4888, 6110, 12220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24425 and 24440. The biggest common factor number is the GCF number.
So the greatest common factor 24425 and 24440 is 5.

Also check out the Least Common Multiple of 24425 and 24440