What is the Greatest Common Factor of 32508 and 32523?

Greatest common factor (GCF) of 32508 and 32523 is 3.

GCF(32508,32523) = 3

We will now calculate the prime factors of 32508 and 32523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32508 and 32523.

How to find the GCF of 32508 and 32523?

We will first find the prime factorization of 32508 and 32523. After we will calculate the factors of 32508 and 32523 and find the biggest common factor number .

Step-1: Prime Factorization of 32508

Prime factors of 32508 are 2, 3, 7, 43. Prime factorization of 32508 in exponential form is:

32508 = 2² × 3³ × 7¹ × 43¹

Step-2: 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-3: Factors of 32508

List of positive integer factors of 32508 that divides 32508 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 43, 54, 63, 84, 86, 108, 126, 129, 172, 189, 252, 258, 301, 378, 387, 516, 602, 756, 774, 903, 1161, 1204, 1548, 1806, 2322, 2709, 3612, 4644, 5418, 8127, 10836, 16254

Step-4: Factors of 32523

List of positive integer factors of 32523 that divides 32508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32508 and 32523. The biggest common factor number is the GCF number.
So the greatest common factor 32508 and 32523 is 3.

Also check out the Least Common Multiple of 32508 and 32523