What is the Greatest Common Factor of 90450 and 90468?

Greatest common factor (GCF) of 90450 and 90468 is 18.

GCF(90450,90468) = 18

We will now calculate the prime factors of 90450 and 90468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90450 and 90468.

How to find the GCF of 90450 and 90468?

We will first find the prime factorization of 90450 and 90468. After we will calculate the factors of 90450 and 90468 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 90468

Prime factors of 90468 are 2, 3, 7, 359. Prime factorization of 90468 in exponential form is:

90468 = 2² × 3² × 7¹ × 359¹

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 90468

List of positive integer factors of 90468 that divides 90450 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 359, 718, 1077, 1436, 2154, 2513, 3231, 4308, 5026, 6462, 7539, 10052, 12924, 15078, 22617, 30156, 45234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90450 and 90468. The biggest common factor number is the GCF number.
So the greatest common factor 90450 and 90468 is 18.

Also check out the Least Common Multiple of 90450 and 90468