What is the Greatest Common Factor of 45441 and 45447?

Greatest common factor (GCF) of 45441 and 45447 is 3.

GCF(45441,45447) = 3

We will now calculate the prime factors of 45441 and 45447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45441 and 45447.

How to find the GCF of 45441 and 45447?

We will first find the prime factorization of 45441 and 45447. After we will calculate the factors of 45441 and 45447 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45447

Prime factors of 45447 are 3, 15149. Prime factorization of 45447 in exponential form is:

45447 = 3¹ × 15149¹

Step-3: Factors of 45441

List of positive integer factors of 45441 that divides 45441 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

Step-4: Factors of 45447

List of positive integer factors of 45447 that divides 45441 without a remainder.

1, 3, 15149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45441 and 45447. The biggest common factor number is the GCF number.
So the greatest common factor 45441 and 45447 is 3.

Also check out the Least Common Multiple of 45441 and 45447