What is the Greatest Common Factor of 29589 and 29595?

Greatest common factor (GCF) of 29589 and 29595 is 3.

GCF(29589,29595) = 3

We will now calculate the prime factors of 29589 and 29595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29589 and 29595.

How to find the GCF of 29589 and 29595?

We will first find the prime factorization of 29589 and 29595. After we will calculate the factors of 29589 and 29595 and find the biggest common factor number .

Step-1: Prime Factorization of 29589

Prime factors of 29589 are 3, 7, 1409. Prime factorization of 29589 in exponential form is:

29589 = 3¹ × 7¹ × 1409¹

Step-2: Prime Factorization of 29595

Prime factors of 29595 are 3, 5, 1973. Prime factorization of 29595 in exponential form is:

29595 = 3¹ × 5¹ × 1973¹

Step-3: Factors of 29589

List of positive integer factors of 29589 that divides 29589 without a remainder.

1, 3, 7, 21, 1409, 4227, 9863

Step-4: Factors of 29595

List of positive integer factors of 29595 that divides 29589 without a remainder.

1, 3, 5, 15, 1973, 5919, 9865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29589 and 29595. The biggest common factor number is the GCF number.
So the greatest common factor 29589 and 29595 is 3.

Also check out the Least Common Multiple of 29589 and 29595