What is the Greatest Common Factor of 96006 and 96021?

Greatest common factor (GCF) of 96006 and 96021 is 3.

GCF(96006,96021) = 3

We will now calculate the prime factors of 96006 and 96021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96006 and 96021.

How to find the GCF of 96006 and 96021?

We will first find the prime factorization of 96006 and 96021. After we will calculate the factors of 96006 and 96021 and find the biggest common factor number .

Step-1: Prime Factorization of 96006

Prime factors of 96006 are 2, 3, 16001. Prime factorization of 96006 in exponential form is:

96006 = 2¹ × 3¹ × 16001¹

Step-2: Prime Factorization of 96021

Prime factors of 96021 are 3, 47, 227. Prime factorization of 96021 in exponential form is:

96021 = 3² × 47¹ × 227¹

Step-3: Factors of 96006

List of positive integer factors of 96006 that divides 96006 without a remainder.

1, 2, 3, 6, 16001, 32002, 48003

Step-4: Factors of 96021

List of positive integer factors of 96021 that divides 96006 without a remainder.

1, 3, 9, 47, 141, 227, 423, 681, 2043, 10669, 32007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96006 and 96021. The biggest common factor number is the GCF number.
So the greatest common factor 96006 and 96021 is 3.

Also check out the Least Common Multiple of 96006 and 96021