What is the Greatest Common Factor of 41904 and 41922?

Greatest common factor (GCF) of 41904 and 41922 is 18.

GCF(41904,41922) = 18

We will now calculate the prime factors of 41904 and 41922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41904 and 41922.

How to find the GCF of 41904 and 41922?

We will first find the prime factorization of 41904 and 41922. After we will calculate the factors of 41904 and 41922 and find the biggest common factor number .

Step-1: Prime Factorization of 41904

Prime factors of 41904 are 2, 3, 97. Prime factorization of 41904 in exponential form is:

41904 = 2⁴ × 3³ × 97¹

Step-2: Prime Factorization of 41922

Prime factors of 41922 are 2, 3, 17, 137. Prime factorization of 41922 in exponential form is:

41922 = 2¹ × 3² × 17¹ × 137¹

Step-3: Factors of 41904

List of positive integer factors of 41904 that divides 41904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 97, 108, 144, 194, 216, 291, 388, 432, 582, 776, 873, 1164, 1552, 1746, 2328, 2619, 3492, 4656, 5238, 6984, 10476, 13968, 20952

Step-4: Factors of 41922

List of positive integer factors of 41922 that divides 41904 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 137, 153, 274, 306, 411, 822, 1233, 2329, 2466, 4658, 6987, 13974, 20961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41904 and 41922. The biggest common factor number is the GCF number.
So the greatest common factor 41904 and 41922 is 18.

Also check out the Least Common Multiple of 41904 and 41922