What is the Greatest Common Factor of 79430 and 79443?

Greatest common factor (GCF) of 79430 and 79443 is 13.

GCF(79430,79443) = 13

We will now calculate the prime factors of 79430 and 79443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79430 and 79443.

How to find the GCF of 79430 and 79443?

We will first find the prime factorization of 79430 and 79443. After we will calculate the factors of 79430 and 79443 and find the biggest common factor number .

Step-1: Prime Factorization of 79430

Prime factors of 79430 are 2, 5, 13, 47. Prime factorization of 79430 in exponential form is:

79430 = 2¹ × 5¹ × 13² × 47¹

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 79430

List of positive integer factors of 79430 that divides 79430 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 169, 235, 338, 470, 611, 845, 1222, 1690, 3055, 6110, 7943, 15886, 39715

Step-4: Factors of 79443

List of positive integer factors of 79443 that divides 79430 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 79430 and 79443. The biggest common factor number is the GCF number.
So the greatest common factor 79430 and 79443 is 13.

Also check out the Least Common Multiple of 79430 and 79443