What is the Greatest Common Factor of 24561 and 24567?

Greatest common factor (GCF) of 24561 and 24567 is 3.

GCF(24561,24567) = 3

We will now calculate the prime factors of 24561 and 24567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24561 and 24567.

How to find the GCF of 24561 and 24567?

We will first find the prime factorization of 24561 and 24567. After we will calculate the factors of 24561 and 24567 and find the biggest common factor number .

Step-1: Prime Factorization of 24561

Prime factors of 24561 are 3, 2729. Prime factorization of 24561 in exponential form is:

24561 = 3² × 2729¹

Step-2: Prime Factorization of 24567

Prime factors of 24567 are 3, 19, 431. Prime factorization of 24567 in exponential form is:

24567 = 3¹ × 19¹ × 431¹

Step-3: Factors of 24561

List of positive integer factors of 24561 that divides 24561 without a remainder.

1, 3, 9, 2729, 8187

Step-4: Factors of 24567

List of positive integer factors of 24567 that divides 24561 without a remainder.

1, 3, 19, 57, 431, 1293, 8189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24561 and 24567. The biggest common factor number is the GCF number.
So the greatest common factor 24561 and 24567 is 3.

Also check out the Least Common Multiple of 24561 and 24567