What is the Greatest Common Factor of 41940 and 41944?

Greatest common factor (GCF) of 41940 and 41944 is 4.

GCF(41940,41944) = 4

We will now calculate the prime factors of 41940 and 41944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41940 and 41944.

How to find the GCF of 41940 and 41944?

We will first find the prime factorization of 41940 and 41944. After we will calculate the factors of 41940 and 41944 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 41944

Prime factors of 41944 are 2, 7, 107. Prime factorization of 41944 in exponential form is:

41944 = 2³ × 7² × 107¹

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 41944

List of positive integer factors of 41944 that divides 41940 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 107, 196, 214, 392, 428, 749, 856, 1498, 2996, 5243, 5992, 10486, 20972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41940 and 41944. The biggest common factor number is the GCF number.
So the greatest common factor 41940 and 41944 is 4.

Also check out the Least Common Multiple of 41940 and 41944