What is the Greatest Common Factor of 73935 and 73941?

Greatest common factor (GCF) of 73935 and 73941 is 3.

GCF(73935,73941) = 3

We will now calculate the prime factors of 73935 and 73941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73935 and 73941.

How to find the GCF of 73935 and 73941?

We will first find the prime factorization of 73935 and 73941. After we will calculate the factors of 73935 and 73941 and find the biggest common factor number .

Step-1: Prime Factorization of 73935

Prime factors of 73935 are 3, 5, 31, 53. Prime factorization of 73935 in exponential form is:

73935 = 3² × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 73941

Prime factors of 73941 are 3, 7, 503. Prime factorization of 73941 in exponential form is:

73941 = 3¹ × 7² × 503¹

Step-3: Factors of 73935

List of positive integer factors of 73935 that divides 73935 without a remainder.

1, 3, 5, 9, 15, 31, 45, 53, 93, 155, 159, 265, 279, 465, 477, 795, 1395, 1643, 2385, 4929, 8215, 14787, 24645

Step-4: Factors of 73941

List of positive integer factors of 73941 that divides 73935 without a remainder.

1, 3, 7, 21, 49, 147, 503, 1509, 3521, 10563, 24647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73935 and 73941. The biggest common factor number is the GCF number.
So the greatest common factor 73935 and 73941 is 3.

Also check out the Least Common Multiple of 73935 and 73941