What is the Greatest Common Factor of 32364 and 32373?

Greatest common factor (GCF) of 32364 and 32373 is 9.

GCF(32364,32373) = 9

We will now calculate the prime factors of 32364 and 32373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32364 and 32373.

How to find the GCF of 32364 and 32373?

We will first find the prime factorization of 32364 and 32373. After we will calculate the factors of 32364 and 32373 and find the biggest common factor number .

Step-1: Prime Factorization of 32364

Prime factors of 32364 are 2, 3, 29, 31. Prime factorization of 32364 in exponential form is:

32364 = 2² × 3² × 29¹ × 31¹

Step-2: Prime Factorization of 32373

Prime factors of 32373 are 3, 11, 109. Prime factorization of 32373 in exponential form is:

32373 = 3³ × 11¹ × 109¹

Step-3: Factors of 32364

List of positive integer factors of 32364 that divides 32364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 31, 36, 58, 62, 87, 93, 116, 124, 174, 186, 261, 279, 348, 372, 522, 558, 899, 1044, 1116, 1798, 2697, 3596, 5394, 8091, 10788, 16182

Step-4: Factors of 32373

List of positive integer factors of 32373 that divides 32364 without a remainder.

1, 3, 9, 11, 27, 33, 99, 109, 297, 327, 981, 1199, 2943, 3597, 10791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32364 and 32373. The biggest common factor number is the GCF number.
So the greatest common factor 32364 and 32373 is 9.

Also check out the Least Common Multiple of 32364 and 32373