What is the Greatest Common Factor of 32922 and 32941?

Greatest common factor (GCF) of 32922 and 32941 is 1.

GCF(32922,32941) = 1

We will now calculate the prime factors of 32922 and 32941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32922 and 32941.

How to find the GCF of 32922 and 32941?

We will first find the prime factorization of 32922 and 32941. After we will calculate the factors of 32922 and 32941 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 32941

Prime factors of 32941 are 32941. Prime factorization of 32941 in exponential form is:

32941 = 32941¹

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 32941

List of positive integer factors of 32941 that divides 32922 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32922 and 32941. The biggest common factor number is the GCF number.
So the greatest common factor 32922 and 32941 is 1.

Also check out the Least Common Multiple of 32922 and 32941