What is the Greatest Common Factor of 28989 and 29001?

Greatest common factor (GCF) of 28989 and 29001 is 3.

GCF(28989,29001) = 3

We will now calculate the prime factors of 28989 and 29001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28989 and 29001.

How to find the GCF of 28989 and 29001?

We will first find the prime factorization of 28989 and 29001. After we will calculate the factors of 28989 and 29001 and find the biggest common factor number .

Step-1: Prime Factorization of 28989

Prime factors of 28989 are 3, 3221. Prime factorization of 28989 in exponential form is:

28989 = 3² × 3221¹

Step-2: Prime Factorization of 29001

Prime factors of 29001 are 3, 7, 1381. Prime factorization of 29001 in exponential form is:

29001 = 3¹ × 7¹ × 1381¹

Step-3: Factors of 28989

List of positive integer factors of 28989 that divides 28989 without a remainder.

1, 3, 9, 3221, 9663

Step-4: Factors of 29001

List of positive integer factors of 29001 that divides 28989 without a remainder.

1, 3, 7, 21, 1381, 4143, 9667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28989 and 29001. The biggest common factor number is the GCF number.
So the greatest common factor 28989 and 29001 is 3.

Also check out the Least Common Multiple of 28989 and 29001