What is the Greatest Common Factor of 41940 and 41949?

Greatest common factor (GCF) of 41940 and 41949 is 9.

GCF(41940,41949) = 9

We will now calculate the prime factors of 41940 and 41949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41940 and 41949.

How to find the GCF of 41940 and 41949?

We will first find the prime factorization of 41940 and 41949. After we will calculate the factors of 41940 and 41949 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 41949

Prime factors of 41949 are 3, 59, 79. Prime factorization of 41949 in exponential form is:

41949 = 3² × 59¹ × 79¹

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 41949

List of positive integer factors of 41949 that divides 41940 without a remainder.

1, 3, 9, 59, 79, 177, 237, 531, 711, 4661, 13983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41940 and 41949. The biggest common factor number is the GCF number.
So the greatest common factor 41940 and 41949 is 9.

Also check out the Least Common Multiple of 41940 and 41949