What is the Greatest Common Factor of 40016 and 40021?

Greatest common factor (GCF) of 40016 and 40021 is 1.

GCF(40016,40021) = 1

We will now calculate the prime factors of 40016 and 40021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40016 and 40021.

How to find the GCF of 40016 and 40021?

We will first find the prime factorization of 40016 and 40021. After we will calculate the factors of 40016 and 40021 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40021

Prime factors of 40021 are 31, 1291. Prime factorization of 40021 in exponential form is:

40021 = 31¹ × 1291¹

Step-3: Factors of 40016

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

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

Step-4: Factors of 40021

List of positive integer factors of 40021 that divides 40016 without a remainder.

1, 31, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40016 and 40021. The biggest common factor number is the GCF number.
So the greatest common factor 40016 and 40021 is 1.

Also check out the Least Common Multiple of 40016 and 40021