What is the Greatest Common Factor of 79590 and 79594?

Greatest common factor (GCF) of 79590 and 79594 is 2.

GCF(79590,79594) = 2

We will now calculate the prime factors of 79590 and 79594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79590 and 79594.

How to find the GCF of 79590 and 79594?

We will first find the prime factorization of 79590 and 79594. After we will calculate the factors of 79590 and 79594 and find the biggest common factor number .

Step-1: Prime Factorization of 79590

Prime factors of 79590 are 2, 3, 5, 7, 379. Prime factorization of 79590 in exponential form is:

79590 = 2¹ × 3¹ × 5¹ × 7¹ × 379¹

Step-2: Prime Factorization of 79594

Prime factors of 79594 are 2, 17, 2341. Prime factorization of 79594 in exponential form is:

79594 = 2¹ × 17¹ × 2341¹

Step-3: Factors of 79590

List of positive integer factors of 79590 that divides 79590 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 379, 758, 1137, 1895, 2274, 2653, 3790, 5306, 5685, 7959, 11370, 13265, 15918, 26530, 39795

Step-4: Factors of 79594

List of positive integer factors of 79594 that divides 79590 without a remainder.

1, 2, 17, 34, 2341, 4682, 39797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79590 and 79594. The biggest common factor number is the GCF number.
So the greatest common factor 79590 and 79594 is 2.

Also check out the Least Common Multiple of 79590 and 79594