What is the Greatest Common Factor of 8049 and 8066?

Greatest common factor (GCF) of 8049 and 8066 is 1.

GCF(8049,8066) = 1

We will now calculate the prime factors of 8049 and 8066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8049 and 8066.

How to find the GCF of 8049 and 8066?

We will first find the prime factorization of 8049 and 8066. After we will calculate the factors of 8049 and 8066 and find the biggest common factor number .

Step-1: Prime Factorization of 8049

Prime factors of 8049 are 3, 2683. Prime factorization of 8049 in exponential form is:

8049 = 3¹ × 2683¹

Step-2: Prime Factorization of 8066

Prime factors of 8066 are 2, 37, 109. Prime factorization of 8066 in exponential form is:

8066 = 2¹ × 37¹ × 109¹

Step-3: Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1, 3, 2683

Step-4: Factors of 8066

List of positive integer factors of 8066 that divides 8049 without a remainder.

1, 2, 37, 74, 109, 218, 4033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8049 and 8066. The biggest common factor number is the GCF number.
So the greatest common factor 8049 and 8066 is 1.

Also check out the Least Common Multiple of 8049 and 8066