What is the Greatest Common Factor of 8054 and 8069?

Greatest common factor (GCF) of 8054 and 8069 is 1.

GCF(8054,8069) = 1

We will now calculate the prime factors of 8054 and 8069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8054 and 8069.

How to find the GCF of 8054 and 8069?

We will first find the prime factorization of 8054 and 8069. After we will calculate the factors of 8054 and 8069 and find the biggest common factor number .

Step-1: Prime Factorization of 8054

Prime factors of 8054 are 2, 4027. Prime factorization of 8054 in exponential form is:

8054 = 2¹ × 4027¹

Step-2: Prime Factorization of 8069

Prime factors of 8069 are 8069. Prime factorization of 8069 in exponential form is:

8069 = 8069¹

Step-3: Factors of 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1, 2, 4027

Step-4: Factors of 8069

List of positive integer factors of 8069 that divides 8054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8054 and 8069. The biggest common factor number is the GCF number.
So the greatest common factor 8054 and 8069 is 1.

Also check out the Least Common Multiple of 8054 and 8069