What is the Greatest Common Factor of 24981 and 24996?

Greatest common factor (GCF) of 24981 and 24996 is 3.

GCF(24981,24996) = 3

We will now calculate the prime factors of 24981 and 24996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24981 and 24996.

How to find the GCF of 24981 and 24996?

We will first find the prime factorization of 24981 and 24996. After we will calculate the factors of 24981 and 24996 and find the biggest common factor number .

Step-1: Prime Factorization of 24981

Prime factors of 24981 are 3, 11, 757. Prime factorization of 24981 in exponential form is:

24981 = 3¹ × 11¹ × 757¹

Step-2: 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-3: Factors of 24981

List of positive integer factors of 24981 that divides 24981 without a remainder.

1, 3, 11, 33, 757, 2271, 8327

Step-4: Factors of 24996

List of positive integer factors of 24996 that divides 24981 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24981 and 24996. The biggest common factor number is the GCF number.
So the greatest common factor 24981 and 24996 is 3.

Also check out the Least Common Multiple of 24981 and 24996