What is the Greatest Common Factor of 40012 and 40016?

Greatest common factor (GCF) of 40012 and 40016 is 4.

GCF(40012,40016) = 4

We will now calculate the prime factors of 40012 and 40016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40012 and 40016.

How to find the GCF of 40012 and 40016?

We will first find the prime factorization of 40012 and 40016. After we will calculate the factors of 40012 and 40016 and find the biggest common factor number .

Step-1: Prime Factorization of 40012

Prime factors of 40012 are 2, 7, 1429. Prime factorization of 40012 in exponential form is:

40012 = 2² × 7¹ × 1429¹

Step-2: Prime Factorization of 40016

Prime factors of 40016 are 2, 41, 61. Prime factorization of 40016 in exponential form is:

40016 = 2⁴ × 41¹ × 61¹

Step-3: Factors of 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006

Step-4: Factors of 40016

List of positive integer factors of 40016 that divides 40012 without a remainder.

1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40012 and 40016. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40016 is 4.

Also check out the Least Common Multiple of 40012 and 40016