What is the Greatest Common Factor of 77577 and 77589?

Greatest common factor (GCF) of 77577 and 77589 is 3.

GCF(77577,77589) = 3

We will now calculate the prime factors of 77577 and 77589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77577 and 77589.

How to find the GCF of 77577 and 77589?

We will first find the prime factorization of 77577 and 77589. After we will calculate the factors of 77577 and 77589 and find the biggest common factor number .

Step-1: Prime Factorization of 77577

Prime factors of 77577 are 3, 19, 1361. Prime factorization of 77577 in exponential form is:

77577 = 3¹ × 19¹ × 1361¹

Step-2: 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-3: Factors of 77577

List of positive integer factors of 77577 that divides 77577 without a remainder.

1, 3, 19, 57, 1361, 4083, 25859

Step-4: Factors of 77589

List of positive integer factors of 77589 that divides 77577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77577 and 77589. The biggest common factor number is the GCF number.
So the greatest common factor 77577 and 77589 is 3.

Also check out the Least Common Multiple of 77577 and 77589