What is the Greatest Common Factor of 24975 and 24981?

Greatest common factor (GCF) of 24975 and 24981 is 3.

GCF(24975,24981) = 3

We will now calculate the prime factors of 24975 and 24981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24975 and 24981.

How to find the GCF of 24975 and 24981?

We will first find the prime factorization of 24975 and 24981. After we will calculate the factors of 24975 and 24981 and find the biggest common factor number .

Step-1: Prime Factorization of 24975

Prime factors of 24975 are 3, 5, 37. Prime factorization of 24975 in exponential form is:

24975 = 3³ × 5² × 37¹

Step-2: 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-3: Factors of 24975

List of positive integer factors of 24975 that divides 24975 without a remainder.

1, 3, 5, 9, 15, 25, 27, 37, 45, 75, 111, 135, 185, 225, 333, 555, 675, 925, 999, 1665, 2775, 4995, 8325

Step-4: Factors of 24981

List of positive integer factors of 24981 that divides 24975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24975 and 24981. The biggest common factor number is the GCF number.
So the greatest common factor 24975 and 24981 is 3.

Also check out the Least Common Multiple of 24975 and 24981