What is the Greatest Common Factor of 79577 and 79594?

Greatest common factor (GCF) of 79577 and 79594 is 17.

GCF(79577,79594) = 17

We will now calculate the prime factors of 79577 and 79594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79577 and 79594.

How to find the GCF of 79577 and 79594?

We will first find the prime factorization of 79577 and 79594. After we will calculate the factors of 79577 and 79594 and find the biggest common factor number .

Step-1: Prime Factorization of 79577

Prime factors of 79577 are 17, 31, 151. Prime factorization of 79577 in exponential form is:

79577 = 17¹ × 31¹ × 151¹

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 79577

List of positive integer factors of 79577 that divides 79577 without a remainder.

1, 17, 31, 151, 527, 2567, 4681

Step-4: Factors of 79594

List of positive integer factors of 79594 that divides 79577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79577 and 79594. The biggest common factor number is the GCF number.
So the greatest common factor 79577 and 79594 is 17.

Also check out the Least Common Multiple of 79577 and 79594