What is the Greatest Common Factor of 40016 and 40034?

Greatest common factor (GCF) of 40016 and 40034 is 2.

GCF(40016,40034) = 2

We will now calculate the prime factors of 40016 and 40034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40016 and 40034.

How to find the GCF of 40016 and 40034?

We will first find the prime factorization of 40016 and 40034. After we will calculate the factors of 40016 and 40034 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 40034

Prime factors of 40034 are 2, 37, 541. Prime factorization of 40034 in exponential form is:

40034 = 2¹ × 37¹ × 541¹

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 40034

List of positive integer factors of 40034 that divides 40016 without a remainder.

1, 2, 37, 74, 541, 1082, 20017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40016 and 40034. The biggest common factor number is the GCF number.
So the greatest common factor 40016 and 40034 is 2.

Also check out the Least Common Multiple of 40016 and 40034