What is the Greatest Common Factor of 32918 and 32922?

Greatest common factor (GCF) of 32918 and 32922 is 2.

GCF(32918,32922) = 2

We will now calculate the prime factors of 32918 and 32922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32918 and 32922.

How to find the GCF of 32918 and 32922?

We will first find the prime factorization of 32918 and 32922. After we will calculate the factors of 32918 and 32922 and find the biggest common factor number .

Step-1: Prime Factorization of 32918

Prime factors of 32918 are 2, 109, 151. Prime factorization of 32918 in exponential form is:

32918 = 2¹ × 109¹ × 151¹

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 32918

List of positive integer factors of 32918 that divides 32918 without a remainder.

1, 2, 109, 151, 218, 302, 16459

Step-4: Factors of 32922

List of positive integer factors of 32922 that divides 32918 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 32918 and 32922. The biggest common factor number is the GCF number.
So the greatest common factor 32918 and 32922 is 2.

Also check out the Least Common Multiple of 32918 and 32922