What is the Greatest Common Factor of 77589 and 77598?

Greatest common factor (GCF) of 77589 and 77598 is 9.

GCF(77589,77598) = 9

We will now calculate the prime factors of 77589 and 77598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77589 and 77598.

How to find the GCF of 77589 and 77598?

We will first find the prime factorization of 77589 and 77598. After we will calculate the factors of 77589 and 77598 and find the biggest common factor number .

Step-1: Prime Factorization of 77589

Prime factors of 77589 are 3, 37, 233. Prime factorization of 77589 in exponential form is:

77589 = 3² × 37¹ × 233¹

Step-2: Prime Factorization of 77598

Prime factors of 77598 are 2, 3, 479. Prime factorization of 77598 in exponential form is:

77598 = 2¹ × 3⁴ × 479¹

Step-3: Factors of 77589

List of positive integer factors of 77589 that divides 77589 without a remainder.

1, 3, 9, 37, 111, 233, 333, 699, 2097, 8621, 25863

Step-4: Factors of 77598

List of positive integer factors of 77598 that divides 77589 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 479, 958, 1437, 2874, 4311, 8622, 12933, 25866, 38799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77589 and 77598. The biggest common factor number is the GCF number.
So the greatest common factor 77589 and 77598 is 9.

Also check out the Least Common Multiple of 77589 and 77598