What is the Greatest Common Factor of 14016 and 14031?

Greatest common factor (GCF) of 14016 and 14031 is 3.

GCF(14016,14031) = 3

We will now calculate the prime factors of 14016 and 14031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14016 and 14031.

How to find the GCF of 14016 and 14031?

We will first find the prime factorization of 14016 and 14031. After we will calculate the factors of 14016 and 14031 and find the biggest common factor number .

Step-1: Prime Factorization of 14016

Prime factors of 14016 are 2, 3, 73. Prime factorization of 14016 in exponential form is:

14016 = 2⁶ × 3¹ × 73¹

Step-2: Prime Factorization of 14031

Prime factors of 14031 are 3, 1559. Prime factorization of 14031 in exponential form is:

14031 = 3² × 1559¹

Step-3: Factors of 14016

List of positive integer factors of 14016 that divides 14016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 146, 192, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 4672, 7008

Step-4: Factors of 14031

List of positive integer factors of 14031 that divides 14016 without a remainder.

1, 3, 9, 1559, 4677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14016 and 14031. The biggest common factor number is the GCF number.
So the greatest common factor 14016 and 14031 is 3.

Also check out the Least Common Multiple of 14016 and 14031