What is the Greatest Common Factor of 8016 and 8031?

Greatest common factor (GCF) of 8016 and 8031 is 3.

GCF(8016,8031) = 3

We will now calculate the prime factors of 8016 and 8031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8016 and 8031.

How to find the GCF of 8016 and 8031?

We will first find the prime factorization of 8016 and 8031. After we will calculate the factors of 8016 and 8031 and find the biggest common factor number .

Step-1: Prime Factorization of 8016

Prime factors of 8016 are 2, 3, 167. Prime factorization of 8016 in exponential form is:

8016 = 2⁴ × 3¹ × 167¹

Step-2: Prime Factorization of 8031

Prime factors of 8031 are 3, 2677. Prime factorization of 8031 in exponential form is:

8031 = 3¹ × 2677¹

Step-3: Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008

Step-4: Factors of 8031

List of positive integer factors of 8031 that divides 8016 without a remainder.

1, 3, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8016 and 8031. The biggest common factor number is the GCF number.
So the greatest common factor 8016 and 8031 is 3.

Also check out the Least Common Multiple of 8016 and 8031