What is the Greatest Common Factor of 73935 and 73940?

Greatest common factor (GCF) of 73935 and 73940 is 5.

GCF(73935,73940) = 5

We will now calculate the prime factors of 73935 and 73940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73935 and 73940.

How to find the GCF of 73935 and 73940?

We will first find the prime factorization of 73935 and 73940. After we will calculate the factors of 73935 and 73940 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 73940

Prime factors of 73940 are 2, 5, 3697. Prime factorization of 73940 in exponential form is:

73940 = 2² × 5¹ × 3697¹

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 73940

List of positive integer factors of 73940 that divides 73935 without a remainder.

1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73935 and 73940. The biggest common factor number is the GCF number.
So the greatest common factor 73935 and 73940 is 5.

Also check out the Least Common Multiple of 73935 and 73940