What is the Greatest Common Factor of 90039 and 90054?

Greatest common factor (GCF) of 90039 and 90054 is 3.

GCF(90039,90054) = 3

We will now calculate the prime factors of 90039 and 90054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90039 and 90054.

How to find the GCF of 90039 and 90054?

We will first find the prime factorization of 90039 and 90054. After we will calculate the factors of 90039 and 90054 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 90054

Prime factors of 90054 are 2, 3, 5003. Prime factorization of 90054 in exponential form is:

90054 = 2¹ × 3² × 5003¹

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 90054

List of positive integer factors of 90054 that divides 90039 without a remainder.

1, 2, 3, 6, 9, 18, 5003, 10006, 15009, 30018, 45027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90039 and 90054. The biggest common factor number is the GCF number.
So the greatest common factor 90039 and 90054 is 3.

Also check out the Least Common Multiple of 90039 and 90054