What is the Greatest Common Factor of 90459 and 90478?

Greatest common factor (GCF) of 90459 and 90478 is 19.

GCF(90459,90478) = 19

We will now calculate the prime factors of 90459 and 90478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90459 and 90478.

How to find the GCF of 90459 and 90478?

We will first find the prime factorization of 90459 and 90478. After we will calculate the factors of 90459 and 90478 and find the biggest common factor number .

Step-1: Prime Factorization of 90459

Prime factors of 90459 are 3, 19, 23. Prime factorization of 90459 in exponential form is:

90459 = 3² × 19¹ × 23²

Step-2: Prime Factorization of 90478

Prime factors of 90478 are 2, 19, 2381. Prime factorization of 90478 in exponential form is:

90478 = 2¹ × 19¹ × 2381¹

Step-3: Factors of 90459

List of positive integer factors of 90459 that divides 90459 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 529, 1311, 1587, 3933, 4761, 10051, 30153

Step-4: Factors of 90478

List of positive integer factors of 90478 that divides 90459 without a remainder.

1, 2, 19, 38, 2381, 4762, 45239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90459 and 90478. The biggest common factor number is the GCF number.
So the greatest common factor 90459 and 90478 is 19.

Also check out the Least Common Multiple of 90459 and 90478