What is the Greatest Common Factor of 73346 and 73357?

Greatest common factor (GCF) of 73346 and 73357 is 1.

GCF(73346,73357) = 1

We will now calculate the prime factors of 73346 and 73357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73346 and 73357.

How to find the GCF of 73346 and 73357?

We will first find the prime factorization of 73346 and 73357. After we will calculate the factors of 73346 and 73357 and find the biggest common factor number .

Step-1: Prime Factorization of 73346

Prime factors of 73346 are 2, 7, 13, 31. Prime factorization of 73346 in exponential form is:

73346 = 2¹ × 7¹ × 13² × 31¹

Step-2: Prime Factorization of 73357

Prime factors of 73357 are 109, 673. Prime factorization of 73357 in exponential form is:

73357 = 109¹ × 673¹

Step-3: Factors of 73346

List of positive integer factors of 73346 that divides 73346 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 169, 182, 217, 338, 403, 434, 806, 1183, 2366, 2821, 5239, 5642, 10478, 36673

Step-4: Factors of 73357

List of positive integer factors of 73357 that divides 73346 without a remainder.

1, 109, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73346 and 73357. The biggest common factor number is the GCF number.
So the greatest common factor 73346 and 73357 is 1.

Also check out the Least Common Multiple of 73346 and 73357