What is the Greatest Common Factor of 32007 and 32014?

Greatest common factor (GCF) of 32007 and 32014 is 1.

GCF(32007,32014) = 1

We will now calculate the prime factors of 32007 and 32014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32007 and 32014.

How to find the GCF of 32007 and 32014?

We will first find the prime factorization of 32007 and 32014. After we will calculate the factors of 32007 and 32014 and find the biggest common factor number .

Step-1: Prime Factorization of 32007

Prime factors of 32007 are 3, 47, 227. Prime factorization of 32007 in exponential form is:

32007 = 3¹ × 47¹ × 227¹

Step-2: Prime Factorization of 32014

Prime factors of 32014 are 2, 16007. Prime factorization of 32014 in exponential form is:

32014 = 2¹ × 16007¹

Step-3: Factors of 32007

List of positive integer factors of 32007 that divides 32007 without a remainder.

1, 3, 47, 141, 227, 681, 10669

Step-4: Factors of 32014

List of positive integer factors of 32014 that divides 32007 without a remainder.

1, 2, 16007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32007 and 32014. The biggest common factor number is the GCF number.
So the greatest common factor 32007 and 32014 is 1.

Also check out the Least Common Multiple of 32007 and 32014