What is the Greatest Common Factor of 41832 and 41846?

Greatest common factor (GCF) of 41832 and 41846 is 14.

GCF(41832,41846) = 14

We will now calculate the prime factors of 41832 and 41846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41832 and 41846.

How to find the GCF of 41832 and 41846?

We will first find the prime factorization of 41832 and 41846. After we will calculate the factors of 41832 and 41846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41846

Prime factors of 41846 are 2, 7, 61. Prime factorization of 41846 in exponential form is:

41846 = 2¹ × 7³ × 61¹

Step-3: Factors of 41832

List of positive integer factors of 41832 that divides 41832 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

Step-4: Factors of 41846

List of positive integer factors of 41846 that divides 41832 without a remainder.

1, 2, 7, 14, 49, 61, 98, 122, 343, 427, 686, 854, 2989, 5978, 20923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41832 and 41846. The biggest common factor number is the GCF number.
So the greatest common factor 41832 and 41846 is 14.

Also check out the Least Common Multiple of 41832 and 41846