What is the Greatest Common Factor of 90030 and 90045?

Greatest common factor (GCF) of 90030 and 90045 is 15.

GCF(90030,90045) = 15

We will now calculate the prime factors of 90030 and 90045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90030 and 90045.

How to find the GCF of 90030 and 90045?

We will first find the prime factorization of 90030 and 90045. After we will calculate the factors of 90030 and 90045 and find the biggest common factor number .

Step-1: Prime Factorization of 90030

Prime factors of 90030 are 2, 3, 5, 3001. Prime factorization of 90030 in exponential form is:

90030 = 2¹ × 3¹ × 5¹ × 3001¹

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 90030

List of positive integer factors of 90030 that divides 90030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3001, 6002, 9003, 15005, 18006, 30010, 45015

Step-4: Factors of 90045

List of positive integer factors of 90045 that divides 90030 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 90030 and 90045. The biggest common factor number is the GCF number.
So the greatest common factor 90030 and 90045 is 15.

Also check out the Least Common Multiple of 90030 and 90045