What is the Greatest Common Factor of 79434 and 79449?

Greatest common factor (GCF) of 79434 and 79449 is 3.

GCF(79434,79449) = 3

We will now calculate the prime factors of 79434 and 79449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79434 and 79449.

How to find the GCF of 79434 and 79449?

We will first find the prime factorization of 79434 and 79449. After we will calculate the factors of 79434 and 79449 and find the biggest common factor number .

Step-1: Prime Factorization of 79434

Prime factors of 79434 are 2, 3, 1471. Prime factorization of 79434 in exponential form is:

79434 = 2¹ × 3³ × 1471¹

Step-2: Prime Factorization of 79449

Prime factors of 79449 are 3, 71, 373. Prime factorization of 79449 in exponential form is:

79449 = 3¹ × 71¹ × 373¹

Step-3: Factors of 79434

List of positive integer factors of 79434 that divides 79434 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1471, 2942, 4413, 8826, 13239, 26478, 39717

Step-4: Factors of 79449

List of positive integer factors of 79449 that divides 79434 without a remainder.

1, 3, 71, 213, 373, 1119, 26483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79434 and 79449. The biggest common factor number is the GCF number.
So the greatest common factor 79434 and 79449 is 3.

Also check out the Least Common Multiple of 79434 and 79449