What is the Greatest Common Factor of 74346 and 74359?

Greatest common factor (GCF) of 74346 and 74359 is 1.

GCF(74346,74359) = 1

We will now calculate the prime factors of 74346 and 74359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74346 and 74359.

How to find the GCF of 74346 and 74359?

We will first find the prime factorization of 74346 and 74359. After we will calculate the factors of 74346 and 74359 and find the biggest common factor number .

Step-1: Prime Factorization of 74346

Prime factors of 74346 are 2, 3, 12391. Prime factorization of 74346 in exponential form is:

74346 = 2¹ × 3¹ × 12391¹

Step-2: Prime Factorization of 74359

Prime factors of 74359 are 23, 53, 61. Prime factorization of 74359 in exponential form is:

74359 = 23¹ × 53¹ × 61¹

Step-3: Factors of 74346

List of positive integer factors of 74346 that divides 74346 without a remainder.

1, 2, 3, 6, 12391, 24782, 37173

Step-4: Factors of 74359

List of positive integer factors of 74359 that divides 74346 without a remainder.

1, 23, 53, 61, 1219, 1403, 3233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74346 and 74359. The biggest common factor number is the GCF number.
So the greatest common factor 74346 and 74359 is 1.

Also check out the Least Common Multiple of 74346 and 74359