What is the Greatest Common Factor of 32874 and 32889?

Greatest common factor (GCF) of 32874 and 32889 is 3.

GCF(32874,32889) = 3

We will now calculate the prime factors of 32874 and 32889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32874 and 32889.

How to find the GCF of 32874 and 32889?

We will first find the prime factorization of 32874 and 32889. After we will calculate the factors of 32874 and 32889 and find the biggest common factor number .

Step-1: Prime Factorization of 32874

Prime factors of 32874 are 2, 3, 5479. Prime factorization of 32874 in exponential form is:

32874 = 2¹ × 3¹ × 5479¹

Step-2: Prime Factorization of 32889

Prime factors of 32889 are 3, 19, 577. Prime factorization of 32889 in exponential form is:

32889 = 3¹ × 19¹ × 577¹

Step-3: Factors of 32874

List of positive integer factors of 32874 that divides 32874 without a remainder.

1, 2, 3, 6, 5479, 10958, 16437

Step-4: Factors of 32889

List of positive integer factors of 32889 that divides 32874 without a remainder.

1, 3, 19, 57, 577, 1731, 10963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32874 and 32889. The biggest common factor number is the GCF number.
So the greatest common factor 32874 and 32889 is 3.

Also check out the Least Common Multiple of 32874 and 32889