What is the Greatest Common Factor of 41014 and 41032?

Greatest common factor (GCF) of 41014 and 41032 is 2.

GCF(41014,41032) = 2

We will now calculate the prime factors of 41014 and 41032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41014 and 41032.

How to find the GCF of 41014 and 41032?

We will first find the prime factorization of 41014 and 41032. After we will calculate the factors of 41014 and 41032 and find the biggest common factor number .

Step-1: Prime Factorization of 41014

Prime factors of 41014 are 2, 20507. Prime factorization of 41014 in exponential form is:

41014 = 2¹ × 20507¹

Step-2: Prime Factorization of 41032

Prime factors of 41032 are 2, 23, 223. Prime factorization of 41032 in exponential form is:

41032 = 2³ × 23¹ × 223¹

Step-3: Factors of 41014

List of positive integer factors of 41014 that divides 41014 without a remainder.

1, 2, 20507

Step-4: Factors of 41032

List of positive integer factors of 41032 that divides 41014 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 223, 446, 892, 1784, 5129, 10258, 20516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41014 and 41032. The biggest common factor number is the GCF number.
So the greatest common factor 41014 and 41032 is 2.

Also check out the Least Common Multiple of 41014 and 41032