What is the Greatest Common Factor of 80054 and 80069?

Greatest common factor (GCF) of 80054 and 80069 is 1.

GCF(80054,80069) = 1

We will now calculate the prime factors of 80054 and 80069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80054 and 80069.

How to find the GCF of 80054 and 80069?

We will first find the prime factorization of 80054 and 80069. After we will calculate the factors of 80054 and 80069 and find the biggest common factor number .

Step-1: Prime Factorization of 80054

Prime factors of 80054 are 2, 13, 3079. Prime factorization of 80054 in exponential form is:

80054 = 2¹ × 13¹ × 3079¹

Step-2: Prime Factorization of 80069

Prime factors of 80069 are 11, 29, 251. Prime factorization of 80069 in exponential form is:

80069 = 11¹ × 29¹ × 251¹

Step-3: Factors of 80054

List of positive integer factors of 80054 that divides 80054 without a remainder.

1, 2, 13, 26, 3079, 6158, 40027

Step-4: Factors of 80069

List of positive integer factors of 80069 that divides 80054 without a remainder.

1, 11, 29, 251, 319, 2761, 7279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80054 and 80069. The biggest common factor number is the GCF number.
So the greatest common factor 80054 and 80069 is 1.

Also check out the Least Common Multiple of 80054 and 80069