What is the Greatest Common Factor of 79578 and 79594?

Greatest common factor (GCF) of 79578 and 79594 is 2.

GCF(79578,79594) = 2

We will now calculate the prime factors of 79578 and 79594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79578 and 79594.

How to find the GCF of 79578 and 79594?

We will first find the prime factorization of 79578 and 79594. After we will calculate the factors of 79578 and 79594 and find the biggest common factor number .

Step-1: Prime Factorization of 79578

Prime factors of 79578 are 2, 3, 4421. Prime factorization of 79578 in exponential form is:

79578 = 2¹ × 3² × 4421¹

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 79578

List of positive integer factors of 79578 that divides 79578 without a remainder.

1, 2, 3, 6, 9, 18, 4421, 8842, 13263, 26526, 39789

Step-4: Factors of 79594

List of positive integer factors of 79594 that divides 79578 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79578 and 79594. The biggest common factor number is the GCF number.
So the greatest common factor 79578 and 79594 is 2.

Also check out the Least Common Multiple of 79578 and 79594