What is the Greatest Common Factor of 73315 and 73335?

Greatest common factor (GCF) of 73315 and 73335 is 5.

GCF(73315,73335) = 5

We will now calculate the prime factors of 73315 and 73335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73315 and 73335.

How to find the GCF of 73315 and 73335?

We will first find the prime factorization of 73315 and 73335. After we will calculate the factors of 73315 and 73335 and find the biggest common factor number .

Step-1: Prime Factorization of 73315

Prime factors of 73315 are 5, 11, 31, 43. Prime factorization of 73315 in exponential form is:

73315 = 5¹ × 11¹ × 31¹ × 43¹

Step-2: Prime Factorization of 73335

Prime factors of 73335 are 3, 5, 4889. Prime factorization of 73335 in exponential form is:

73335 = 3¹ × 5¹ × 4889¹

Step-3: Factors of 73315

List of positive integer factors of 73315 that divides 73315 without a remainder.

1, 5, 11, 31, 43, 55, 155, 215, 341, 473, 1333, 1705, 2365, 6665, 14663

Step-4: Factors of 73335

List of positive integer factors of 73335 that divides 73315 without a remainder.

1, 3, 5, 15, 4889, 14667, 24445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73315 and 73335. The biggest common factor number is the GCF number.
So the greatest common factor 73315 and 73335 is 5.

Also check out the Least Common Multiple of 73315 and 73335