What is the Greatest Common Factor of 73395 and 73409?

Greatest common factor (GCF) of 73395 and 73409 is 7.

GCF(73395,73409) = 7

We will now calculate the prime factors of 73395 and 73409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73395 and 73409.

How to find the GCF of 73395 and 73409?

We will first find the prime factorization of 73395 and 73409. After we will calculate the factors of 73395 and 73409 and find the biggest common factor number .

Step-1: Prime Factorization of 73395

Prime factors of 73395 are 3, 5, 7, 233. Prime factorization of 73395 in exponential form is:

73395 = 3² × 5¹ × 7¹ × 233¹

Step-2: Prime Factorization of 73409

Prime factors of 73409 are 7, 10487. Prime factorization of 73409 in exponential form is:

73409 = 7¹ × 10487¹

Step-3: Factors of 73395

List of positive integer factors of 73395 that divides 73395 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 233, 315, 699, 1165, 1631, 2097, 3495, 4893, 8155, 10485, 14679, 24465

Step-4: Factors of 73409

List of positive integer factors of 73409 that divides 73395 without a remainder.

1, 7, 10487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73395 and 73409. The biggest common factor number is the GCF number.
So the greatest common factor 73395 and 73409 is 7.

Also check out the Least Common Multiple of 73395 and 73409