What is the Greatest Common Factor of 24925 and 24940?

Greatest common factor (GCF) of 24925 and 24940 is 5.

GCF(24925,24940) = 5

We will now calculate the prime factors of 24925 and 24940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24940.

How to find the GCF of 24925 and 24940?

We will first find the prime factorization of 24925 and 24940. After we will calculate the factors of 24925 and 24940 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 24940

Prime factors of 24940 are 2, 5, 29, 43. Prime factorization of 24940 in exponential form is:

24940 = 2² × 5¹ × 29¹ × 43¹

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 24940

List of positive integer factors of 24940 that divides 24925 without a remainder.

1, 2, 4, 5, 10, 20, 29, 43, 58, 86, 116, 145, 172, 215, 290, 430, 580, 860, 1247, 2494, 4988, 6235, 12470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24940. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24940 is 5.

Also check out the Least Common Multiple of 24925 and 24940