What is the Greatest Common Factor of 90450 and 90462?

Greatest common factor (GCF) of 90450 and 90462 is 6.

GCF(90450,90462) = 6

We will now calculate the prime factors of 90450 and 90462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90450 and 90462.

How to find the GCF of 90450 and 90462?

We will first find the prime factorization of 90450 and 90462. After we will calculate the factors of 90450 and 90462 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 90462

Prime factors of 90462 are 2, 3, 15077. Prime factorization of 90462 in exponential form is:

90462 = 2¹ × 3¹ × 15077¹

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 90462

List of positive integer factors of 90462 that divides 90450 without a remainder.

1, 2, 3, 6, 15077, 30154, 45231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90450 and 90462. The biggest common factor number is the GCF number.
So the greatest common factor 90450 and 90462 is 6.

Also check out the Least Common Multiple of 90450 and 90462