What is the Greatest Common Factor of 24534 and 24543?

Greatest common factor (GCF) of 24534 and 24543 is 9.

GCF(24534,24543) = 9

We will now calculate the prime factors of 24534 and 24543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24534 and 24543.

How to find the GCF of 24534 and 24543?

We will first find the prime factorization of 24534 and 24543. After we will calculate the factors of 24534 and 24543 and find the biggest common factor number .

Step-1: Prime Factorization of 24534

Prime factors of 24534 are 2, 3, 29, 47. Prime factorization of 24534 in exponential form is:

24534 = 2¹ × 3² × 29¹ × 47¹

Step-2: Prime Factorization of 24543

Prime factors of 24543 are 3, 101. Prime factorization of 24543 in exponential form is:

24543 = 3⁵ × 101¹

Step-3: Factors of 24534

List of positive integer factors of 24534 that divides 24534 without a remainder.

1, 2, 3, 6, 9, 18, 29, 47, 58, 87, 94, 141, 174, 261, 282, 423, 522, 846, 1363, 2726, 4089, 8178, 12267

Step-4: Factors of 24543

List of positive integer factors of 24543 that divides 24534 without a remainder.

1, 3, 9, 27, 81, 101, 243, 303, 909, 2727, 8181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24534 and 24543. The biggest common factor number is the GCF number.
So the greatest common factor 24534 and 24543 is 9.

Also check out the Least Common Multiple of 24534 and 24543