What is the Greatest Common Factor of 41846 and 41860?

Greatest common factor (GCF) of 41846 and 41860 is 14.

GCF(41846,41860) = 14

We will now calculate the prime factors of 41846 and 41860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41846 and 41860.

How to find the GCF of 41846 and 41860?

We will first find the prime factorization of 41846 and 41860. After we will calculate the factors of 41846 and 41860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41860

Prime factors of 41860 are 2, 5, 7, 13, 23. Prime factorization of 41860 in exponential form is:

41860 = 2² × 5¹ × 7¹ × 13¹ × 23¹

Step-3: Factors of 41846

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

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

Step-4: Factors of 41860

List of positive integer factors of 41860 that divides 41846 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 23, 26, 28, 35, 46, 52, 65, 70, 91, 92, 115, 130, 140, 161, 182, 230, 260, 299, 322, 364, 455, 460, 598, 644, 805, 910, 1196, 1495, 1610, 1820, 2093, 2990, 3220, 4186, 5980, 8372, 10465, 20930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41846 and 41860. The biggest common factor number is the GCF number.
So the greatest common factor 41846 and 41860 is 14.

Also check out the Least Common Multiple of 41846 and 41860