What is the Greatest Common Factor of 24925 and 24930?

Greatest common factor (GCF) of 24925 and 24930 is 5.

GCF(24925,24930) = 5

We will now calculate the prime factors of 24925 and 24930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24930.

How to find the GCF of 24925 and 24930?

We will first find the prime factorization of 24925 and 24930. After we will calculate the factors of 24925 and 24930 and find the biggest common factor number .

Step-1: Prime Factorization of 24925

Prime factors of 24925 are 5, 997. Prime factorization of 24925 in exponential form is:

24925 = 5² × 997¹

Step-2: Prime Factorization of 24930

Prime factors of 24930 are 2, 3, 5, 277. Prime factorization of 24930 in exponential form is:

24930 = 2¹ × 3² × 5¹ × 277¹

Step-3: Factors of 24925

List of positive integer factors of 24925 that divides 24925 without a remainder.

1, 5, 25, 997, 4985

Step-4: Factors of 24930

List of positive integer factors of 24930 that divides 24925 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 277, 554, 831, 1385, 1662, 2493, 2770, 4155, 4986, 8310, 12465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24930. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24930 is 5.

Also check out the Least Common Multiple of 24925 and 24930