What is the Greatest Common Factor of 32904 and 32922?

Greatest common factor (GCF) of 32904 and 32922 is 18.

GCF(32904,32922) = 18

We will now calculate the prime factors of 32904 and 32922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32904 and 32922.

How to find the GCF of 32904 and 32922?

We will first find the prime factorization of 32904 and 32922. After we will calculate the factors of 32904 and 32922 and find the biggest common factor number .

Step-1: Prime Factorization of 32904

Prime factors of 32904 are 2, 3, 457. Prime factorization of 32904 in exponential form is:

32904 = 2³ × 3² × 457¹

Step-2: Prime Factorization of 32922

Prime factors of 32922 are 2, 3, 31, 59. Prime factorization of 32922 in exponential form is:

32922 = 2¹ × 3² × 31¹ × 59¹

Step-3: Factors of 32904

List of positive integer factors of 32904 that divides 32904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 16452

Step-4: Factors of 32922

List of positive integer factors of 32922 that divides 32904 without a remainder.

1, 2, 3, 6, 9, 18, 31, 59, 62, 93, 118, 177, 186, 279, 354, 531, 558, 1062, 1829, 3658, 5487, 10974, 16461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32904 and 32922. The biggest common factor number is the GCF number.
So the greatest common factor 32904 and 32922 is 18.

Also check out the Least Common Multiple of 32904 and 32922