What is the Greatest Common Factor of 32014 and 32024?

Greatest common factor (GCF) of 32014 and 32024 is 2.

GCF(32014,32024) = 2

We will now calculate the prime factors of 32014 and 32024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32014 and 32024.

How to find the GCF of 32014 and 32024?

We will first find the prime factorization of 32014 and 32024. After we will calculate the factors of 32014 and 32024 and find the biggest common factor number .

Step-1: Prime Factorization of 32014

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

32014 = 2¹ × 16007¹

Step-2: Prime Factorization of 32024

Prime factors of 32024 are 2, 4003. Prime factorization of 32024 in exponential form is:

32024 = 2³ × 4003¹

Step-3: Factors of 32014

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

1, 2, 16007

Step-4: Factors of 32024

List of positive integer factors of 32024 that divides 32014 without a remainder.

1, 2, 4, 8, 4003, 8006, 16012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32014 and 32024. The biggest common factor number is the GCF number.
So the greatest common factor 32014 and 32024 is 2.

Also check out the Least Common Multiple of 32014 and 32024