What is the Greatest Common Factor of 73353 and 73369?

Greatest common factor (GCF) of 73353 and 73369 is 1.

GCF(73353,73369) = 1

We will now calculate the prime factors of 73353 and 73369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73353 and 73369.

How to find the GCF of 73353 and 73369?

We will first find the prime factorization of 73353 and 73369. After we will calculate the factors of 73353 and 73369 and find the biggest common factor number .

Step-1: Prime Factorization of 73353

Prime factors of 73353 are 3, 7, 499. Prime factorization of 73353 in exponential form is:

73353 = 3¹ × 7² × 499¹

Step-2: Prime Factorization of 73369

Prime factors of 73369 are 73369. Prime factorization of 73369 in exponential form is:

73369 = 73369¹

Step-3: Factors of 73353

List of positive integer factors of 73353 that divides 73353 without a remainder.

1, 3, 7, 21, 49, 147, 499, 1497, 3493, 10479, 24451

Step-4: Factors of 73369

List of positive integer factors of 73369 that divides 73353 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73353 and 73369. The biggest common factor number is the GCF number.
So the greatest common factor 73353 and 73369 is 1.

Also check out the Least Common Multiple of 73353 and 73369