What is the Greatest Common Factor of 8073 and 8077?

Greatest common factor (GCF) of 8073 and 8077 is 1.

GCF(8073,8077) = 1

We will now calculate the prime factors of 8073 and 8077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8073 and 8077.

How to find the GCF of 8073 and 8077?

We will first find the prime factorization of 8073 and 8077. After we will calculate the factors of 8073 and 8077 and find the biggest common factor number .

Step-1: Prime Factorization of 8073

Prime factors of 8073 are 3, 13, 23. Prime factorization of 8073 in exponential form is:

8073 = 3³ × 13¹ × 23¹

Step-2: Prime Factorization of 8077

Prime factors of 8077 are 41, 197. Prime factorization of 8077 in exponential form is:

8077 = 41¹ × 197¹

Step-3: Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691

Step-4: Factors of 8077

List of positive integer factors of 8077 that divides 8073 without a remainder.

1, 41, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8073 and 8077. The biggest common factor number is the GCF number.
So the greatest common factor 8073 and 8077 is 1.

Also check out the Least Common Multiple of 8073 and 8077