What is the Greatest Common Factor of 74312 and 74329?

Greatest common factor (GCF) of 74312 and 74329 is 1.

GCF(74312,74329) = 1

We will now calculate the prime factors of 74312 and 74329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74312 and 74329.

How to find the GCF of 74312 and 74329?

We will first find the prime factorization of 74312 and 74329. After we will calculate the factors of 74312 and 74329 and find the biggest common factor number .

Step-1: Prime Factorization of 74312

Prime factors of 74312 are 2, 7, 1327. Prime factorization of 74312 in exponential form is:

74312 = 2³ × 7¹ × 1327¹

Step-2: Prime Factorization of 74329

Prime factors of 74329 are 239, 311. Prime factorization of 74329 in exponential form is:

74329 = 239¹ × 311¹

Step-3: Factors of 74312

List of positive integer factors of 74312 that divides 74312 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1327, 2654, 5308, 9289, 10616, 18578, 37156

Step-4: Factors of 74329

List of positive integer factors of 74329 that divides 74312 without a remainder.

1, 239, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74312 and 74329. The biggest common factor number is the GCF number.
So the greatest common factor 74312 and 74329 is 1.

Also check out the Least Common Multiple of 74312 and 74329