What is the Greatest Common Factor of 32922 and 32933?

Greatest common factor (GCF) of 32922 and 32933 is 1.

GCF(32922,32933) = 1

We will now calculate the prime factors of 32922 and 32933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32922 and 32933.

How to find the GCF of 32922 and 32933?

We will first find the prime factorization of 32922 and 32933. After we will calculate the factors of 32922 and 32933 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32933

Prime factors of 32933 are 32933. Prime factorization of 32933 in exponential form is:

32933 = 32933¹

Step-3: Factors of 32922

List of positive integer factors of 32922 that divides 32922 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

Step-4: Factors of 32933

List of positive integer factors of 32933 that divides 32922 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32922 and 32933. The biggest common factor number is the GCF number.
So the greatest common factor 32922 and 32933 is 1.

Also check out the Least Common Multiple of 32922 and 32933