What is the Greatest Common Factor of 24925 and 24929?

Greatest common factor (GCF) of 24925 and 24929 is 1.

GCF(24925,24929) = 1

We will now calculate the prime factors of 24925 and 24929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24929.

How to find the GCF of 24925 and 24929?

We will first find the prime factorization of 24925 and 24929. After we will calculate the factors of 24925 and 24929 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 24929

Prime factors of 24929 are 97, 257. Prime factorization of 24929 in exponential form is:

24929 = 97¹ × 257¹

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 24929

List of positive integer factors of 24929 that divides 24925 without a remainder.

1, 97, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24929. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24929 is 1.

Also check out the Least Common Multiple of 24925 and 24929