What is the Greatest Common Factor of 41316 and 41332?

Greatest common factor (GCF) of 41316 and 41332 is 4.

GCF(41316,41332) = 4

We will now calculate the prime factors of 41316 and 41332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41316 and 41332.

How to find the GCF of 41316 and 41332?

We will first find the prime factorization of 41316 and 41332. After we will calculate the factors of 41316 and 41332 and find the biggest common factor number .

Step-1: Prime Factorization of 41316

Prime factors of 41316 are 2, 3, 11, 313. Prime factorization of 41316 in exponential form is:

41316 = 2² × 3¹ × 11¹ × 313¹

Step-2: Prime Factorization of 41332

Prime factors of 41332 are 2, 10333. Prime factorization of 41332 in exponential form is:

41332 = 2² × 10333¹

Step-3: Factors of 41316

List of positive integer factors of 41316 that divides 41316 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 313, 626, 939, 1252, 1878, 3443, 3756, 6886, 10329, 13772, 20658

Step-4: Factors of 41332

List of positive integer factors of 41332 that divides 41316 without a remainder.

1, 2, 4, 10333, 20666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41316 and 41332. The biggest common factor number is the GCF number.
So the greatest common factor 41316 and 41332 is 4.

Also check out the Least Common Multiple of 41316 and 41332