What is the Greatest Common Factor of 8027 and 8035?

Greatest common factor (GCF) of 8027 and 8035 is 1.

GCF(8027,8035) = 1

We will now calculate the prime factors of 8027 and 8035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8027 and 8035.

How to find the GCF of 8027 and 8035?

We will first find the prime factorization of 8027 and 8035. After we will calculate the factors of 8027 and 8035 and find the biggest common factor number .

Step-1: Prime Factorization of 8027

Prime factors of 8027 are 23, 349. Prime factorization of 8027 in exponential form is:

8027 = 23¹ × 349¹

Step-2: Prime Factorization of 8035

Prime factors of 8035 are 5, 1607. Prime factorization of 8035 in exponential form is:

8035 = 5¹ × 1607¹

Step-3: Factors of 8027

List of positive integer factors of 8027 that divides 8027 without a remainder.

1, 23, 349

Step-4: Factors of 8035

List of positive integer factors of 8035 that divides 8027 without a remainder.

1, 5, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8027 and 8035. The biggest common factor number is the GCF number.
So the greatest common factor 8027 and 8035 is 1.

Also check out the Least Common Multiple of 8027 and 8035