What is the Greatest Common Factor of 73347 and 73351?

Greatest common factor (GCF) of 73347 and 73351 is 1.

GCF(73347,73351) = 1

We will now calculate the prime factors of 73347 and 73351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73347 and 73351.

How to find the GCF of 73347 and 73351?

We will first find the prime factorization of 73347 and 73351. After we will calculate the factors of 73347 and 73351 and find the biggest common factor number .

Step-1: Prime Factorization of 73347

Prime factors of 73347 are 3, 23, 1063. Prime factorization of 73347 in exponential form is:

73347 = 3¹ × 23¹ × 1063¹

Step-2: Prime Factorization of 73351

Prime factors of 73351 are 73351. Prime factorization of 73351 in exponential form is:

73351 = 73351¹

Step-3: Factors of 73347

List of positive integer factors of 73347 that divides 73347 without a remainder.

1, 3, 23, 69, 1063, 3189, 24449

Step-4: Factors of 73351

List of positive integer factors of 73351 that divides 73347 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73347 and 73351. The biggest common factor number is the GCF number.
So the greatest common factor 73347 and 73351 is 1.

Also check out the Least Common Multiple of 73347 and 73351