What is the Greatest Common Factor of 90447 and 90465?

Greatest common factor (GCF) of 90447 and 90465 is 3.

GCF(90447,90465) = 3

We will now calculate the prime factors of 90447 and 90465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90447 and 90465.

How to find the GCF of 90447 and 90465?

We will first find the prime factorization of 90447 and 90465. After we will calculate the factors of 90447 and 90465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90465

Prime factors of 90465 are 3, 5, 37, 163. Prime factorization of 90465 in exponential form is:

90465 = 3¹ × 5¹ × 37¹ × 163¹

Step-3: Factors of 90447

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

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

Step-4: Factors of 90465

List of positive integer factors of 90465 that divides 90447 without a remainder.

1, 3, 5, 15, 37, 111, 163, 185, 489, 555, 815, 2445, 6031, 18093, 30155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90447 and 90465. The biggest common factor number is the GCF number.
So the greatest common factor 90447 and 90465 is 3.

Also check out the Least Common Multiple of 90447 and 90465