What is the Greatest Common Factor of 79346 and 79359?

Greatest common factor (GCF) of 79346 and 79359 is 1.

GCF(79346,79359) = 1

We will now calculate the prime factors of 79346 and 79359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79346 and 79359.

How to find the GCF of 79346 and 79359?

We will first find the prime factorization of 79346 and 79359. After we will calculate the factors of 79346 and 79359 and find the biggest common factor number .

Step-1: Prime Factorization of 79346

Prime factors of 79346 are 2, 97, 409. Prime factorization of 79346 in exponential form is:

79346 = 2¹ × 97¹ × 409¹

Step-2: Prime Factorization of 79359

Prime factors of 79359 are 3, 7, 3779. Prime factorization of 79359 in exponential form is:

79359 = 3¹ × 7¹ × 3779¹

Step-3: Factors of 79346

List of positive integer factors of 79346 that divides 79346 without a remainder.

1, 2, 97, 194, 409, 818, 39673

Step-4: Factors of 79359

List of positive integer factors of 79359 that divides 79346 without a remainder.

1, 3, 7, 21, 3779, 11337, 26453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79346 and 79359. The biggest common factor number is the GCF number.
So the greatest common factor 79346 and 79359 is 1.

Also check out the Least Common Multiple of 79346 and 79359