What is the Greatest Common Factor of 79437 and 79443?

Greatest common factor (GCF) of 79437 and 79443 is 3.

GCF(79437,79443) = 3

We will now calculate the prime factors of 79437 and 79443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79437 and 79443.

How to find the GCF of 79437 and 79443?

We will first find the prime factorization of 79437 and 79443. After we will calculate the factors of 79437 and 79443 and find the biggest common factor number .

Step-1: Prime Factorization of 79437

Prime factors of 79437 are 3, 26479. Prime factorization of 79437 in exponential form is:

79437 = 3¹ × 26479¹

Step-2: Prime Factorization of 79443

Prime factors of 79443 are 3, 7, 13, 97. Prime factorization of 79443 in exponential form is:

79443 = 3² × 7¹ × 13¹ × 97¹

Step-3: Factors of 79437

List of positive integer factors of 79437 that divides 79437 without a remainder.

1, 3, 26479

Step-4: Factors of 79443

List of positive integer factors of 79443 that divides 79437 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 97, 117, 273, 291, 679, 819, 873, 1261, 2037, 3783, 6111, 8827, 11349, 26481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79437 and 79443. The biggest common factor number is the GCF number.
So the greatest common factor 79437 and 79443 is 3.

Also check out the Least Common Multiple of 79437 and 79443