What is the Greatest Common Factor of 23538 and 23547?

Greatest common factor (GCF) of 23538 and 23547 is 3.

GCF(23538,23547) = 3

We will now calculate the prime factors of 23538 and 23547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23538 and 23547.

How to find the GCF of 23538 and 23547?

We will first find the prime factorization of 23538 and 23547. After we will calculate the factors of 23538 and 23547 and find the biggest common factor number .

Step-1: Prime Factorization of 23538

Prime factors of 23538 are 2, 3, 3923. Prime factorization of 23538 in exponential form is:

23538 = 2¹ × 3¹ × 3923¹

Step-2: Prime Factorization of 23547

Prime factors of 23547 are 3, 47, 167. Prime factorization of 23547 in exponential form is:

23547 = 3¹ × 47¹ × 167¹

Step-3: Factors of 23538

List of positive integer factors of 23538 that divides 23538 without a remainder.

1, 2, 3, 6, 3923, 7846, 11769

Step-4: Factors of 23547

List of positive integer factors of 23547 that divides 23538 without a remainder.

1, 3, 47, 141, 167, 501, 7849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23538 and 23547. The biggest common factor number is the GCF number.
So the greatest common factor 23538 and 23547 is 3.

Also check out the Least Common Multiple of 23538 and 23547