What is the Greatest Common Factor of 41860 and 41867?

Greatest common factor (GCF) of 41860 and 41867 is 7.

GCF(41860,41867) = 7

We will now calculate the prime factors of 41860 and 41867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41860 and 41867.

How to find the GCF of 41860 and 41867?

We will first find the prime factorization of 41860 and 41867. After we will calculate the factors of 41860 and 41867 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 41867

Prime factors of 41867 are 7, 5981. Prime factorization of 41867 in exponential form is:

41867 = 7¹ × 5981¹

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 41867

List of positive integer factors of 41867 that divides 41860 without a remainder.

1, 7, 5981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41860 and 41867. The biggest common factor number is the GCF number.
So the greatest common factor 41860 and 41867 is 7.

Also check out the Least Common Multiple of 41860 and 41867