What is the Greatest Common Factor of 24996 and 25005?

Greatest common factor (GCF) of 24996 and 25005 is 3.

GCF(24996,25005) = 3

We will now calculate the prime factors of 24996 and 25005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24996 and 25005.

How to find the GCF of 24996 and 25005?

We will first find the prime factorization of 24996 and 25005. After we will calculate the factors of 24996 and 25005 and find the biggest common factor number .

Step-1: Prime Factorization of 24996

Prime factors of 24996 are 2, 3, 2083. Prime factorization of 24996 in exponential form is:

24996 = 2² × 3¹ × 2083¹

Step-2: Prime Factorization of 25005

Prime factors of 25005 are 3, 5, 1667. Prime factorization of 25005 in exponential form is:

25005 = 3¹ × 5¹ × 1667¹

Step-3: Factors of 24996

List of positive integer factors of 24996 that divides 24996 without a remainder.

1, 2, 3, 4, 6, 12, 2083, 4166, 6249, 8332, 12498

Step-4: Factors of 25005

List of positive integer factors of 25005 that divides 24996 without a remainder.

1, 3, 5, 15, 1667, 5001, 8335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24996 and 25005. The biggest common factor number is the GCF number.
So the greatest common factor 24996 and 25005 is 3.

Also check out the Least Common Multiple of 24996 and 25005