What is the Greatest Common Factor of 29589 and 29603?

Greatest common factor (GCF) of 29589 and 29603 is 7.

GCF(29589,29603) = 7

We will now calculate the prime factors of 29589 and 29603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29589 and 29603.

How to find the GCF of 29589 and 29603?

We will first find the prime factorization of 29589 and 29603. After we will calculate the factors of 29589 and 29603 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 29603

Prime factors of 29603 are 7, 4229. Prime factorization of 29603 in exponential form is:

29603 = 7¹ × 4229¹

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 29603

List of positive integer factors of 29603 that divides 29589 without a remainder.

1, 7, 4229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29589 and 29603. The biggest common factor number is the GCF number.
So the greatest common factor 29589 and 29603 is 7.

Also check out the Least Common Multiple of 29589 and 29603