What is the Greatest Common Factor of 41832 and 41839?

Greatest common factor (GCF) of 41832 and 41839 is 7.

GCF(41832,41839) = 7

We will now calculate the prime factors of 41832 and 41839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41832 and 41839.

How to find the GCF of 41832 and 41839?

We will first find the prime factorization of 41832 and 41839. After we will calculate the factors of 41832 and 41839 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 41839

Prime factors of 41839 are 7, 43, 139. Prime factorization of 41839 in exponential form is:

41839 = 7¹ × 43¹ × 139¹

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 41839

List of positive integer factors of 41839 that divides 41832 without a remainder.

1, 7, 43, 139, 301, 973, 5977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41832 and 41839. The biggest common factor number is the GCF number.
So the greatest common factor 41832 and 41839 is 7.

Also check out the Least Common Multiple of 41832 and 41839