What is the Greatest Common Factor of 41860 and 41874?

Greatest common factor (GCF) of 41860 and 41874 is 14.

GCF(41860,41874) = 14

We will now calculate the prime factors of 41860 and 41874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41860 and 41874.

How to find the GCF of 41860 and 41874?

We will first find the prime factorization of 41860 and 41874. After we will calculate the factors of 41860 and 41874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41874

Prime factors of 41874 are 2, 3, 7, 997. Prime factorization of 41874 in exponential form is:

41874 = 2¹ × 3¹ × 7¹ × 997¹

Step-3: Factors of 41860

List of positive integer factors of 41860 that divides 41860 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

Step-4: Factors of 41874

List of positive integer factors of 41874 that divides 41860 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 997, 1994, 2991, 5982, 6979, 13958, 20937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41860 and 41874. The biggest common factor number is the GCF number.
So the greatest common factor 41860 and 41874 is 14.

Also check out the Least Common Multiple of 41860 and 41874