What is the Greatest Common Factor of 90450 and 90459?

Greatest common factor (GCF) of 90450 and 90459 is 9.

GCF(90450,90459) = 9

We will now calculate the prime factors of 90450 and 90459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90450 and 90459.

How to find the GCF of 90450 and 90459?

We will first find the prime factorization of 90450 and 90459. After we will calculate the factors of 90450 and 90459 and find the biggest common factor number .

Step-1: Prime Factorization of 90450

Prime factors of 90450 are 2, 3, 5, 67. Prime factorization of 90450 in exponential form is:

90450 = 2¹ × 3³ × 5² × 67¹

Step-2: 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-3: Factors of 90450

List of positive integer factors of 90450 that divides 90450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 67, 75, 90, 134, 135, 150, 201, 225, 270, 335, 402, 450, 603, 670, 675, 1005, 1206, 1350, 1675, 1809, 2010, 3015, 3350, 3618, 5025, 6030, 9045, 10050, 15075, 18090, 30150, 45225

Step-4: Factors of 90459

List of positive integer factors of 90459 that divides 90450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90450 and 90459. The biggest common factor number is the GCF number.
So the greatest common factor 90450 and 90459 is 9.

Also check out the Least Common Multiple of 90450 and 90459