What is the Greatest Common Factor of 79304 and 79323?

Greatest common factor (GCF) of 79304 and 79323 is 1.

GCF(79304,79323) = 1

We will now calculate the prime factors of 79304 and 79323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79304 and 79323.

How to find the GCF of 79304 and 79323?

We will first find the prime factorization of 79304 and 79323. After we will calculate the factors of 79304 and 79323 and find the biggest common factor number .

Step-1: Prime Factorization of 79304

Prime factors of 79304 are 2, 23, 431. Prime factorization of 79304 in exponential form is:

79304 = 2³ × 23¹ × 431¹

Step-2: Prime Factorization of 79323

Prime factors of 79323 are 3, 137, 193. Prime factorization of 79323 in exponential form is:

79323 = 3¹ × 137¹ × 193¹

Step-3: Factors of 79304

List of positive integer factors of 79304 that divides 79304 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 431, 862, 1724, 3448, 9913, 19826, 39652

Step-4: Factors of 79323

List of positive integer factors of 79323 that divides 79304 without a remainder.

1, 3, 137, 193, 411, 579, 26441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79304 and 79323. The biggest common factor number is the GCF number.
So the greatest common factor 79304 and 79323 is 1.

Also check out the Least Common Multiple of 79304 and 79323