What is the Greatest Common Factor of 79557 and 79566?

Greatest common factor (GCF) of 79557 and 79566 is 3.

GCF(79557,79566) = 3

We will now calculate the prime factors of 79557 and 79566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79557 and 79566.

How to find the GCF of 79557 and 79566?

We will first find the prime factorization of 79557 and 79566. After we will calculate the factors of 79557 and 79566 and find the biggest common factor number .

Step-1: Prime Factorization of 79557

Prime factors of 79557 are 3, 23, 1153. Prime factorization of 79557 in exponential form is:

79557 = 3¹ × 23¹ × 1153¹

Step-2: Prime Factorization of 79566

Prime factors of 79566 are 2, 3, 89, 149. Prime factorization of 79566 in exponential form is:

79566 = 2¹ × 3¹ × 89¹ × 149¹

Step-3: Factors of 79557

List of positive integer factors of 79557 that divides 79557 without a remainder.

1, 3, 23, 69, 1153, 3459, 26519

Step-4: Factors of 79566

List of positive integer factors of 79566 that divides 79557 without a remainder.

1, 2, 3, 6, 89, 149, 178, 267, 298, 447, 534, 894, 13261, 26522, 39783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79557 and 79566. The biggest common factor number is the GCF number.
So the greatest common factor 79557 and 79566 is 3.

Also check out the Least Common Multiple of 79557 and 79566