What is the Greatest Common Factor of 84027 and 84033?

Greatest common factor (GCF) of 84027 and 84033 is 3.

GCF(84027,84033) = 3

We will now calculate the prime factors of 84027 and 84033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84027 and 84033.

How to find the GCF of 84027 and 84033?

We will first find the prime factorization of 84027 and 84033. After we will calculate the factors of 84027 and 84033 and find the biggest common factor number .

Step-1: Prime Factorization of 84027

Prime factors of 84027 are 3, 37, 757. Prime factorization of 84027 in exponential form is:

84027 = 3¹ × 37¹ × 757¹

Step-2: Prime Factorization of 84033

Prime factors of 84033 are 3, 9337. Prime factorization of 84033 in exponential form is:

84033 = 3² × 9337¹

Step-3: Factors of 84027

List of positive integer factors of 84027 that divides 84027 without a remainder.

1, 3, 37, 111, 757, 2271, 28009

Step-4: Factors of 84033

List of positive integer factors of 84033 that divides 84027 without a remainder.

1, 3, 9, 9337, 28011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84027 and 84033. The biggest common factor number is the GCF number.
So the greatest common factor 84027 and 84033 is 3.

Also check out the Least Common Multiple of 84027 and 84033