What is the Greatest Common Factor of 41814 and 41832?

Greatest common factor (GCF) of 41814 and 41832 is 18.

GCF(41814,41832) = 18

We will now calculate the prime factors of 41814 and 41832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41832.

How to find the GCF of 41814 and 41832?

We will first find the prime factorization of 41814 and 41832. After we will calculate the factors of 41814 and 41832 and find the biggest common factor number .

Step-1: Prime Factorization of 41814

Prime factors of 41814 are 2, 3, 23, 101. Prime factorization of 41814 in exponential form is:

41814 = 2¹ × 3² × 23¹ × 101¹

Step-2: Prime Factorization of 41832

Prime factors of 41832 are 2, 3, 7, 83. Prime factorization of 41832 in exponential form is:

41832 = 2³ × 3² × 7¹ × 83¹

Step-3: Factors of 41814

List of positive integer factors of 41814 that divides 41814 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 101, 138, 202, 207, 303, 414, 606, 909, 1818, 2323, 4646, 6969, 13938, 20907

Step-4: Factors of 41832

List of positive integer factors of 41832 that divides 41814 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 83, 84, 126, 166, 168, 249, 252, 332, 498, 504, 581, 664, 747, 996, 1162, 1494, 1743, 1992, 2324, 2988, 3486, 4648, 5229, 5976, 6972, 10458, 13944, 20916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41832. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41832 is 18.

Also check out the Least Common Multiple of 41814 and 41832