What is the Greatest Common Factor of 73935 and 73945?

Greatest common factor (GCF) of 73935 and 73945 is 5.

GCF(73935,73945) = 5

We will now calculate the prime factors of 73935 and 73945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73935 and 73945.

How to find the GCF of 73935 and 73945?

We will first find the prime factorization of 73935 and 73945. After we will calculate the factors of 73935 and 73945 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 73945

Prime factors of 73945 are 5, 23, 643. Prime factorization of 73945 in exponential form is:

73945 = 5¹ × 23¹ × 643¹

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 73945

List of positive integer factors of 73945 that divides 73935 without a remainder.

1, 5, 23, 115, 643, 3215, 14789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73935 and 73945. The biggest common factor number is the GCF number.
So the greatest common factor 73935 and 73945 is 5.

Also check out the Least Common Multiple of 73935 and 73945