What is the Greatest Common Factor of 45423 and 45441?

Greatest common factor (GCF) of 45423 and 45441 is 9.

GCF(45423,45441) = 9

We will now calculate the prime factors of 45423 and 45441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45423 and 45441.

How to find the GCF of 45423 and 45441?

We will first find the prime factorization of 45423 and 45441. After we will calculate the factors of 45423 and 45441 and find the biggest common factor number .

Step-1: Prime Factorization of 45423

Prime factors of 45423 are 3, 7, 103. Prime factorization of 45423 in exponential form is:

45423 = 3² × 7² × 103¹

Step-2: Prime Factorization of 45441

Prime factors of 45441 are 3, 11, 17. Prime factorization of 45441 in exponential form is:

45441 = 3⁵ × 11¹ × 17¹

Step-3: Factors of 45423

List of positive integer factors of 45423 that divides 45423 without a remainder.

1, 3, 7, 9, 21, 49, 63, 103, 147, 309, 441, 721, 927, 2163, 5047, 6489, 15141

Step-4: Factors of 45441

List of positive integer factors of 45441 that divides 45423 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 81, 99, 153, 187, 243, 297, 459, 561, 891, 1377, 1683, 2673, 4131, 5049, 15147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45423 and 45441. The biggest common factor number is the GCF number.
So the greatest common factor 45423 and 45441 is 9.

Also check out the Least Common Multiple of 45423 and 45441