What is the Greatest Common Factor of 32870 and 32889?

Greatest common factor (GCF) of 32870 and 32889 is 19.

GCF(32870,32889) = 19

We will now calculate the prime factors of 32870 and 32889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32870 and 32889.

How to find the GCF of 32870 and 32889?

We will first find the prime factorization of 32870 and 32889. After we will calculate the factors of 32870 and 32889 and find the biggest common factor number .

Step-1: Prime Factorization of 32870

Prime factors of 32870 are 2, 5, 19, 173. Prime factorization of 32870 in exponential form is:

32870 = 2¹ × 5¹ × 19¹ × 173¹

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 32870

List of positive integer factors of 32870 that divides 32870 without a remainder.

1, 2, 5, 10, 19, 38, 95, 173, 190, 346, 865, 1730, 3287, 6574, 16435

Step-4: Factors of 32889

List of positive integer factors of 32889 that divides 32870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32870 and 32889. The biggest common factor number is the GCF number.
So the greatest common factor 32870 and 32889 is 19.

Also check out the Least Common Multiple of 32870 and 32889