What is the Greatest Common Factor of 74293 and 74313?

Greatest common factor (GCF) of 74293 and 74313 is 1.

GCF(74293,74313) = 1

We will now calculate the prime factors of 74293 and 74313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74293 and 74313.

How to find the GCF of 74293 and 74313?

We will first find the prime factorization of 74293 and 74313. After we will calculate the factors of 74293 and 74313 and find the biggest common factor number .

Step-1: Prime Factorization of 74293

Prime factors of 74293 are 74293. Prime factorization of 74293 in exponential form is:

74293 = 74293¹

Step-2: 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-3: Factors of 74293

List of positive integer factors of 74293 that divides 74293 without a remainder.

Step-4: Factors of 74313

List of positive integer factors of 74313 that divides 74293 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74293 and 74313. The biggest common factor number is the GCF number.
So the greatest common factor 74293 and 74313 is 1.

Also check out the Least Common Multiple of 74293 and 74313