What is the Greatest Common Factor of 90054 and 90066?

Greatest common factor (GCF) of 90054 and 90066 is 6.

GCF(90054,90066) = 6

We will now calculate the prime factors of 90054 and 90066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90054 and 90066.

How to find the GCF of 90054 and 90066?

We will first find the prime factorization of 90054 and 90066. After we will calculate the factors of 90054 and 90066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90066

Prime factors of 90066 are 2, 3, 17, 883. Prime factorization of 90066 in exponential form is:

90066 = 2¹ × 3¹ × 17¹ × 883¹

Step-3: Factors of 90054

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

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

Step-4: Factors of 90066

List of positive integer factors of 90066 that divides 90054 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 883, 1766, 2649, 5298, 15011, 30022, 45033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90054 and 90066. The biggest common factor number is the GCF number.
So the greatest common factor 90054 and 90066 is 6.

Also check out the Least Common Multiple of 90054 and 90066