What is the Greatest Common Factor of 24954 and 24969?

Greatest common factor (GCF) of 24954 and 24969 is 3.

GCF(24954,24969) = 3

We will now calculate the prime factors of 24954 and 24969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24954 and 24969.

How to find the GCF of 24954 and 24969?

We will first find the prime factorization of 24954 and 24969. After we will calculate the factors of 24954 and 24969 and find the biggest common factor number .

Step-1: Prime Factorization of 24954

Prime factors of 24954 are 2, 3, 4159. Prime factorization of 24954 in exponential form is:

24954 = 2¹ × 3¹ × 4159¹

Step-2: 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-3: Factors of 24954

List of positive integer factors of 24954 that divides 24954 without a remainder.

1, 2, 3, 6, 4159, 8318, 12477

Step-4: Factors of 24969

List of positive integer factors of 24969 that divides 24954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24954 and 24969. The biggest common factor number is the GCF number.
So the greatest common factor 24954 and 24969 is 3.

Also check out the Least Common Multiple of 24954 and 24969