What is the Greatest Common Factor of 90441 and 90447?

Greatest common factor (GCF) of 90441 and 90447 is 3.

GCF(90441,90447) = 3

We will now calculate the prime factors of 90441 and 90447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90441 and 90447.

How to find the GCF of 90441 and 90447?

We will first find the prime factorization of 90441 and 90447. After we will calculate the factors of 90441 and 90447 and find the biggest common factor number .

Step-1: Prime Factorization of 90441

Prime factors of 90441 are 3, 13, 773. Prime factorization of 90441 in exponential form is:

90441 = 3² × 13¹ × 773¹

Step-2: Prime Factorization of 90447

Prime factors of 90447 are 3, 7, 59, 73. Prime factorization of 90447 in exponential form is:

90447 = 3¹ × 7¹ × 59¹ × 73¹

Step-3: Factors of 90441

List of positive integer factors of 90441 that divides 90441 without a remainder.

1, 3, 9, 13, 39, 117, 773, 2319, 6957, 10049, 30147

Step-4: Factors of 90447

List of positive integer factors of 90447 that divides 90441 without a remainder.

1, 3, 7, 21, 59, 73, 177, 219, 413, 511, 1239, 1533, 4307, 12921, 30149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90441 and 90447. The biggest common factor number is the GCF number.
So the greatest common factor 90441 and 90447 is 3.

Also check out the Least Common Multiple of 90441 and 90447