What is the Greatest Common Factor of 24925 and 24943?

Greatest common factor (GCF) of 24925 and 24943 is 1.

GCF(24925,24943) = 1

We will now calculate the prime factors of 24925 and 24943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24943.

How to find the GCF of 24925 and 24943?

We will first find the prime factorization of 24925 and 24943. After we will calculate the factors of 24925 and 24943 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 24943

Prime factors of 24943 are 24943. Prime factorization of 24943 in exponential form is:

24943 = 24943¹

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 24943

List of positive integer factors of 24943 that divides 24925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24943. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24943 is 1.

Also check out the Least Common Multiple of 24925 and 24943