What is the Greatest Common Factor of 2016 and 2031?

Greatest common factor (GCF) of 2016 and 2031 is 3.

GCF(2016,2031) = 3

We will now calculate the prime factors of 2016 and 2031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2016 and 2031.

How to find the GCF of 2016 and 2031?

We will first find the prime factorization of 2016 and 2031. After we will calculate the factors of 2016 and 2031 and find the biggest common factor number .

Step-1: Prime Factorization of 2016

Prime factors of 2016 are 2, 3, 7. Prime factorization of 2016 in exponential form is:

2016 = 2⁵ × 3² × 7¹

Step-2: Prime Factorization of 2031

Prime factors of 2031 are 3, 677. Prime factorization of 2031 in exponential form is:

2031 = 3¹ × 677¹

Step-3: Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008

Step-4: Factors of 2031

List of positive integer factors of 2031 that divides 2016 without a remainder.

1, 3, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2016 and 2031. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2031 is 3.

Also check out the Least Common Multiple of 2016 and 2031