What is the Greatest Common Factor of 24969 and 24975?

Greatest common factor (GCF) of 24969 and 24975 is 3.

GCF(24969,24975) = 3

We will now calculate the prime factors of 24969 and 24975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24969 and 24975.

How to find the GCF of 24969 and 24975?

We will first find the prime factorization of 24969 and 24975. After we will calculate the factors of 24969 and 24975 and find the biggest common factor number .

Step-1: Prime Factorization of 24969

Prime factors of 24969 are 3, 7, 29, 41. Prime factorization of 24969 in exponential form is:

24969 = 3¹ × 7¹ × 29¹ × 41¹

Step-2: 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-3: Factors of 24969

List of positive integer factors of 24969 that divides 24969 without a remainder.

1, 3, 7, 21, 29, 41, 87, 123, 203, 287, 609, 861, 1189, 3567, 8323

Step-4: Factors of 24975

List of positive integer factors of 24975 that divides 24969 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24969 and 24975. The biggest common factor number is the GCF number.
So the greatest common factor 24969 and 24975 is 3.

Also check out the Least Common Multiple of 24969 and 24975