What is the Greatest Common Factor of 90036 and 90045?

Greatest common factor (GCF) of 90036 and 90045 is 9.

GCF(90036,90045) = 9

We will now calculate the prime factors of 90036 and 90045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90036 and 90045.

How to find the GCF of 90036 and 90045?

We will first find the prime factorization of 90036 and 90045. After we will calculate the factors of 90036 and 90045 and find the biggest common factor number .

Step-1: Prime Factorization of 90036

Prime factors of 90036 are 2, 3, 41, 61. Prime factorization of 90036 in exponential form is:

90036 = 2² × 3² × 41¹ × 61¹

Step-2: Prime Factorization of 90045

Prime factors of 90045 are 3, 5, 23, 29. Prime factorization of 90045 in exponential form is:

90045 = 3³ × 5¹ × 23¹ × 29¹

Step-3: Factors of 90036

List of positive integer factors of 90036 that divides 90036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 369, 492, 549, 732, 738, 1098, 1476, 2196, 2501, 5002, 7503, 10004, 15006, 22509, 30012, 45018

Step-4: Factors of 90045

List of positive integer factors of 90045 that divides 90036 without a remainder.

1, 3, 5, 9, 15, 23, 27, 29, 45, 69, 87, 115, 135, 145, 207, 261, 345, 435, 621, 667, 783, 1035, 1305, 2001, 3105, 3335, 3915, 6003, 10005, 18009, 30015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90036 and 90045. The biggest common factor number is the GCF number.
So the greatest common factor 90036 and 90045 is 9.

Also check out the Least Common Multiple of 90036 and 90045