What is the Greatest Common Factor of 41322 and 41336?

Greatest common factor (GCF) of 41322 and 41336 is 2.

GCF(41322,41336) = 2

We will now calculate the prime factors of 41322 and 41336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41322 and 41336.

How to find the GCF of 41322 and 41336?

We will first find the prime factorization of 41322 and 41336. After we will calculate the factors of 41322 and 41336 and find the biggest common factor number .

Step-1: Prime Factorization of 41322

Prime factors of 41322 are 2, 3, 71, 97. Prime factorization of 41322 in exponential form is:

41322 = 2¹ × 3¹ × 71¹ × 97¹

Step-2: Prime Factorization of 41336

Prime factors of 41336 are 2, 5167. Prime factorization of 41336 in exponential form is:

41336 = 2³ × 5167¹

Step-3: Factors of 41322

List of positive integer factors of 41322 that divides 41322 without a remainder.

1, 2, 3, 6, 71, 97, 142, 194, 213, 291, 426, 582, 6887, 13774, 20661

Step-4: Factors of 41336

List of positive integer factors of 41336 that divides 41322 without a remainder.

1, 2, 4, 8, 5167, 10334, 20668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41322 and 41336. The biggest common factor number is the GCF number.
So the greatest common factor 41322 and 41336 is 2.

Also check out the Least Common Multiple of 41322 and 41336