What is the Greatest Common Factor of 41925 and 41940?

Greatest common factor (GCF) of 41925 and 41940 is 15.

GCF(41925,41940) = 15

We will now calculate the prime factors of 41925 and 41940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41925 and 41940.

How to find the GCF of 41925 and 41940?

We will first find the prime factorization of 41925 and 41940. After we will calculate the factors of 41925 and 41940 and find the biggest common factor number .

Step-1: Prime Factorization of 41925

Prime factors of 41925 are 3, 5, 13, 43. Prime factorization of 41925 in exponential form is:

41925 = 3¹ × 5² × 13¹ × 43¹

Step-2: 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-3: Factors of 41925

List of positive integer factors of 41925 that divides 41925 without a remainder.

1, 3, 5, 13, 15, 25, 39, 43, 65, 75, 129, 195, 215, 325, 559, 645, 975, 1075, 1677, 2795, 3225, 8385, 13975

Step-4: Factors of 41940

List of positive integer factors of 41940 that divides 41925 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41925 and 41940. The biggest common factor number is the GCF number.
So the greatest common factor 41925 and 41940 is 15.

Also check out the Least Common Multiple of 41925 and 41940