What is the Greatest Common Factor of 32870 and 32876?

Greatest common factor (GCF) of 32870 and 32876 is 2.

GCF(32870,32876) = 2

We will now calculate the prime factors of 32870 and 32876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32870 and 32876.

How to find the GCF of 32870 and 32876?

We will first find the prime factorization of 32870 and 32876. After we will calculate the factors of 32870 and 32876 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 32876

Prime factors of 32876 are 2, 8219. Prime factorization of 32876 in exponential form is:

32876 = 2² × 8219¹

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 32876

List of positive integer factors of 32876 that divides 32870 without a remainder.

1, 2, 4, 8219, 16438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32870 and 32876. The biggest common factor number is the GCF number.
So the greatest common factor 32870 and 32876 is 2.

Also check out the Least Common Multiple of 32870 and 32876