What is the Greatest Common Factor of 74313 and 74327?

Greatest common factor (GCF) of 74313 and 74327 is 1.

GCF(74313,74327) = 1

We will now calculate the prime factors of 74313 and 74327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74313 and 74327.

How to find the GCF of 74313 and 74327?

We will first find the prime factorization of 74313 and 74327. After we will calculate the factors of 74313 and 74327 and find the biggest common factor number .

Step-1: Prime Factorization of 74313

Prime factors of 74313 are 3, 23, 359. Prime factorization of 74313 in exponential form is:

74313 = 3² × 23¹ × 359¹

Step-2: Prime Factorization of 74327

Prime factors of 74327 are 11, 29, 233. Prime factorization of 74327 in exponential form is:

74327 = 11¹ × 29¹ × 233¹

Step-3: Factors of 74313

List of positive integer factors of 74313 that divides 74313 without a remainder.

1, 3, 9, 23, 69, 207, 359, 1077, 3231, 8257, 24771

Step-4: Factors of 74327

List of positive integer factors of 74327 that divides 74313 without a remainder.

1, 11, 29, 233, 319, 2563, 6757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74313 and 74327. The biggest common factor number is the GCF number.
So the greatest common factor 74313 and 74327 is 1.

Also check out the Least Common Multiple of 74313 and 74327