What is the Greatest Common Factor of 73923 and 73935?

Greatest common factor (GCF) of 73923 and 73935 is 3.

GCF(73923,73935) = 3

We will now calculate the prime factors of 73923 and 73935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73923 and 73935.

How to find the GCF of 73923 and 73935?

We will first find the prime factorization of 73923 and 73935. After we will calculate the factors of 73923 and 73935 and find the biggest common factor number .

Step-1: Prime Factorization of 73923

Prime factors of 73923 are 3, 41, 601. Prime factorization of 73923 in exponential form is:

73923 = 3¹ × 41¹ × 601¹

Step-2: 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-3: Factors of 73923

List of positive integer factors of 73923 that divides 73923 without a remainder.

1, 3, 41, 123, 601, 1803, 24641

Step-4: Factors of 73935

List of positive integer factors of 73935 that divides 73923 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73923 and 73935. The biggest common factor number is the GCF number.
So the greatest common factor 73923 and 73935 is 3.

Also check out the Least Common Multiple of 73923 and 73935