What is the Greatest Common Factor of 90009 and 90024?

Greatest common factor (GCF) of 90009 and 90024 is 3.

GCF(90009,90024) = 3

We will now calculate the prime factors of 90009 and 90024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90009 and 90024.

How to find the GCF of 90009 and 90024?

We will first find the prime factorization of 90009 and 90024. After we will calculate the factors of 90009 and 90024 and find the biggest common factor number .

Step-1: Prime Factorization of 90009

Prime factors of 90009 are 3, 73, 137. Prime factorization of 90009 in exponential form is:

90009 = 3² × 73¹ × 137¹

Step-2: Prime Factorization of 90024

Prime factors of 90024 are 2, 3, 11, 31. Prime factorization of 90024 in exponential form is:

90024 = 2³ × 3¹ × 11² × 31¹

Step-3: Factors of 90009

List of positive integer factors of 90009 that divides 90009 without a remainder.

1, 3, 9, 73, 137, 219, 411, 657, 1233, 10001, 30003

Step-4: Factors of 90024

List of positive integer factors of 90024 that divides 90009 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 121, 124, 132, 186, 242, 248, 264, 341, 363, 372, 484, 682, 726, 744, 968, 1023, 1364, 1452, 2046, 2728, 2904, 3751, 4092, 7502, 8184, 11253, 15004, 22506, 30008, 45012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90009 and 90024. The biggest common factor number is the GCF number.
So the greatest common factor 90009 and 90024 is 3.

Also check out the Least Common Multiple of 90009 and 90024