What is the Greatest Common Factor of 8072 and 8078?

Greatest common factor (GCF) of 8072 and 8078 is 2.

GCF(8072,8078) = 2

We will now calculate the prime factors of 8072 and 8078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8072 and 8078.

How to find the GCF of 8072 and 8078?

We will first find the prime factorization of 8072 and 8078. After we will calculate the factors of 8072 and 8078 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 8078

Prime factors of 8078 are 2, 7, 577. Prime factorization of 8078 in exponential form is:

8078 = 2¹ × 7¹ × 577¹

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 8078

List of positive integer factors of 8078 that divides 8072 without a remainder.

1, 2, 7, 14, 577, 1154, 4039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8072 and 8078. The biggest common factor number is the GCF number.
So the greatest common factor 8072 and 8078 is 2.

Also check out the Least Common Multiple of 8072 and 8078