What is the Greatest Common Factor of 24925 and 24945?

Greatest common factor (GCF) of 24925 and 24945 is 5.

GCF(24925,24945) = 5

We will now calculate the prime factors of 24925 and 24945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24945.

How to find the GCF of 24925 and 24945?

We will first find the prime factorization of 24925 and 24945. After we will calculate the factors of 24925 and 24945 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 24945

Prime factors of 24945 are 3, 5, 1663. Prime factorization of 24945 in exponential form is:

24945 = 3¹ × 5¹ × 1663¹

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 24945

List of positive integer factors of 24945 that divides 24925 without a remainder.

1, 3, 5, 15, 1663, 4989, 8315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24945. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24945 is 5.

Also check out the Least Common Multiple of 24925 and 24945