What is the Greatest Common Factor of 79566 and 79582?

Greatest common factor (GCF) of 79566 and 79582 is 2.

GCF(79566,79582) = 2

We will now calculate the prime factors of 79566 and 79582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79566 and 79582.

How to find the GCF of 79566 and 79582?

We will first find the prime factorization of 79566 and 79582. After we will calculate the factors of 79566 and 79582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79582

Prime factors of 79582 are 2, 39791. Prime factorization of 79582 in exponential form is:

79582 = 2¹ × 39791¹

Step-3: Factors of 79566

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

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

Step-4: Factors of 79582

List of positive integer factors of 79582 that divides 79566 without a remainder.

1, 2, 39791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79566 and 79582. The biggest common factor number is the GCF number.
So the greatest common factor 79566 and 79582 is 2.

Also check out the Least Common Multiple of 79566 and 79582