What is the Greatest Common Factor of 73297 and 73317?

Greatest common factor (GCF) of 73297 and 73317 is 1.

GCF(73297,73317) = 1

We will now calculate the prime factors of 73297 and 73317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73297 and 73317.

How to find the GCF of 73297 and 73317?

We will first find the prime factorization of 73297 and 73317. After we will calculate the factors of 73297 and 73317 and find the biggest common factor number .

Step-1: Prime Factorization of 73297

Prime factors of 73297 are 7, 37, 283. Prime factorization of 73297 in exponential form is:

73297 = 7¹ × 37¹ × 283¹

Step-2: Prime Factorization of 73317

Prime factors of 73317 are 3, 24439. Prime factorization of 73317 in exponential form is:

73317 = 3¹ × 24439¹

Step-3: Factors of 73297

List of positive integer factors of 73297 that divides 73297 without a remainder.

1, 7, 37, 259, 283, 1981, 10471

Step-4: Factors of 73317

List of positive integer factors of 73317 that divides 73297 without a remainder.

1, 3, 24439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73297 and 73317. The biggest common factor number is the GCF number.
So the greatest common factor 73297 and 73317 is 1.

Also check out the Least Common Multiple of 73297 and 73317