What is the Greatest Common Factor of 45306 and 45322?

Greatest common factor (GCF) of 45306 and 45322 is 2.

GCF(45306,45322) = 2

We will now calculate the prime factors of 45306 and 45322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45306 and 45322.

How to find the GCF of 45306 and 45322?

We will first find the prime factorization of 45306 and 45322. After we will calculate the factors of 45306 and 45322 and find the biggest common factor number .

Step-1: Prime Factorization of 45306

Prime factors of 45306 are 2, 3, 839. Prime factorization of 45306 in exponential form is:

45306 = 2¹ × 3³ × 839¹

Step-2: Prime Factorization of 45322

Prime factors of 45322 are 2, 17, 31, 43. Prime factorization of 45322 in exponential form is:

45322 = 2¹ × 17¹ × 31¹ × 43¹

Step-3: Factors of 45306

List of positive integer factors of 45306 that divides 45306 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 839, 1678, 2517, 5034, 7551, 15102, 22653

Step-4: Factors of 45322

List of positive integer factors of 45322 that divides 45306 without a remainder.

1, 2, 17, 31, 34, 43, 62, 86, 527, 731, 1054, 1333, 1462, 2666, 22661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45306 and 45322. The biggest common factor number is the GCF number.
So the greatest common factor 45306 and 45322 is 2.

Also check out the Least Common Multiple of 45306 and 45322