What is the Greatest Common Factor of 41940 and 41958?

Greatest common factor (GCF) of 41940 and 41958 is 18.

GCF(41940,41958) = 18

We will now calculate the prime factors of 41940 and 41958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41940 and 41958.

How to find the GCF of 41940 and 41958?

We will first find the prime factorization of 41940 and 41958. After we will calculate the factors of 41940 and 41958 and find the biggest common factor number .

Step-1: Prime Factorization of 41940

Prime factors of 41940 are 2, 3, 5, 233. Prime factorization of 41940 in exponential form is:

41940 = 2² × 3² × 5¹ × 233¹

Step-2: Prime Factorization of 41958

Prime factors of 41958 are 2, 3, 7, 37. Prime factorization of 41958 in exponential form is:

41958 = 2¹ × 3⁴ × 7¹ × 37¹

Step-3: Factors of 41940

List of positive integer factors of 41940 that divides 41940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 233, 466, 699, 932, 1165, 1398, 2097, 2330, 2796, 3495, 4194, 4660, 6990, 8388, 10485, 13980, 20970

Step-4: Factors of 41958

List of positive integer factors of 41958 that divides 41940 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 37, 42, 54, 63, 74, 81, 111, 126, 162, 189, 222, 259, 333, 378, 518, 567, 666, 777, 999, 1134, 1554, 1998, 2331, 2997, 4662, 5994, 6993, 13986, 20979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41940 and 41958. The biggest common factor number is the GCF number.
So the greatest common factor 41940 and 41958 is 18.

Also check out the Least Common Multiple of 41940 and 41958