What is the Greatest Common Factor of 90450 and 90455?

Greatest common factor (GCF) of 90450 and 90455 is 5.

GCF(90450,90455) = 5

We will now calculate the prime factors of 90450 and 90455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90450 and 90455.

How to find the GCF of 90450 and 90455?

We will first find the prime factorization of 90450 and 90455. After we will calculate the factors of 90450 and 90455 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 90455

Prime factors of 90455 are 5, 79, 229. Prime factorization of 90455 in exponential form is:

90455 = 5¹ × 79¹ × 229¹

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 90455

List of positive integer factors of 90455 that divides 90450 without a remainder.

1, 5, 79, 229, 395, 1145, 18091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90450 and 90455. The biggest common factor number is the GCF number.
So the greatest common factor 90450 and 90455 is 5.

Also check out the Least Common Multiple of 90450 and 90455