What is the Greatest Common Factor of 90039 and 90045?

Greatest common factor (GCF) of 90039 and 90045 is 3.

GCF(90039,90045) = 3

We will now calculate the prime factors of 90039 and 90045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90039 and 90045.

How to find the GCF of 90039 and 90045?

We will first find the prime factorization of 90039 and 90045. After we will calculate the factors of 90039 and 90045 and find the biggest common factor number .

Step-1: Prime Factorization of 90039

Prime factors of 90039 are 3, 30013. Prime factorization of 90039 in exponential form is:

90039 = 3¹ × 30013¹

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 90039

List of positive integer factors of 90039 that divides 90039 without a remainder.

1, 3, 30013

Step-4: Factors of 90045

List of positive integer factors of 90045 that divides 90039 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 90039 and 90045. The biggest common factor number is the GCF number.
So the greatest common factor 90039 and 90045 is 3.

Also check out the Least Common Multiple of 90039 and 90045