What is the Greatest Common Factor of 45322 and 45326?

Greatest common factor (GCF) of 45322 and 45326 is 2.

GCF(45322,45326) = 2

We will now calculate the prime factors of 45322 and 45326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45322 and 45326.

How to find the GCF of 45322 and 45326?

We will first find the prime factorization of 45322 and 45326. After we will calculate the factors of 45322 and 45326 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45326

Prime factors of 45326 are 2, 131, 173. Prime factorization of 45326 in exponential form is:

45326 = 2¹ × 131¹ × 173¹

Step-3: Factors of 45322

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

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

Step-4: Factors of 45326

List of positive integer factors of 45326 that divides 45322 without a remainder.

1, 2, 131, 173, 262, 346, 22663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45322 and 45326. The biggest common factor number is the GCF number.
So the greatest common factor 45322 and 45326 is 2.

Also check out the Least Common Multiple of 45322 and 45326