What is the Greatest Common Factor of 24925 and 24938?

Greatest common factor (GCF) of 24925 and 24938 is 1.

GCF(24925,24938) = 1

We will now calculate the prime factors of 24925 and 24938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24938.

How to find the GCF of 24925 and 24938?

We will first find the prime factorization of 24925 and 24938. After we will calculate the factors of 24925 and 24938 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 24938

Prime factors of 24938 are 2, 37, 337. Prime factorization of 24938 in exponential form is:

24938 = 2¹ × 37¹ × 337¹

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 24938

List of positive integer factors of 24938 that divides 24925 without a remainder.

1, 2, 37, 74, 337, 674, 12469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24938. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24938 is 1.

Also check out the Least Common Multiple of 24925 and 24938