What is the Greatest Common Factor of 32523 and 32532?

Greatest common factor (GCF) of 32523 and 32532 is 3.

GCF(32523,32532) = 3

We will now calculate the prime factors of 32523 and 32532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32523 and 32532.

How to find the GCF of 32523 and 32532?

We will first find the prime factorization of 32523 and 32532. After we will calculate the factors of 32523 and 32532 and find the biggest common factor number .

Step-1: Prime Factorization of 32523

Prime factors of 32523 are 3, 37, 293. Prime factorization of 32523 in exponential form is:

32523 = 3¹ × 37¹ × 293¹

Step-2: Prime Factorization of 32532

Prime factors of 32532 are 2, 3, 2711. Prime factorization of 32532 in exponential form is:

32532 = 2² × 3¹ × 2711¹

Step-3: Factors of 32523

List of positive integer factors of 32523 that divides 32523 without a remainder.

1, 3, 37, 111, 293, 879, 10841

Step-4: Factors of 32532

List of positive integer factors of 32532 that divides 32523 without a remainder.

1, 2, 3, 4, 6, 12, 2711, 5422, 8133, 10844, 16266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32523 and 32532. The biggest common factor number is the GCF number.
So the greatest common factor 32523 and 32532 is 3.

Also check out the Least Common Multiple of 32523 and 32532