What is the Greatest Common Factor of 8072 and 8077?

Greatest common factor (GCF) of 8072 and 8077 is 1.

GCF(8072,8077) = 1

We will now calculate the prime factors of 8072 and 8077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8072 and 8077.

How to find the GCF of 8072 and 8077?

We will first find the prime factorization of 8072 and 8077. After we will calculate the factors of 8072 and 8077 and find the biggest common factor number .

Step-1: Prime Factorization of 8072

Prime factors of 8072 are 2, 1009. Prime factorization of 8072 in exponential form is:

8072 = 2³ × 1009¹

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 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036

Step-4: Factors of 8077

List of positive integer factors of 8077 that divides 8072 without a remainder.

1, 41, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8072 and 8077. The biggest common factor number is the GCF number.
So the greatest common factor 8072 and 8077 is 1.

Also check out the Least Common Multiple of 8072 and 8077