What is the Greatest Common Factor of 32870 and 32882?

Greatest common factor (GCF) of 32870 and 32882 is 2.

GCF(32870,32882) = 2

We will now calculate the prime factors of 32870 and 32882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32870 and 32882.

How to find the GCF of 32870 and 32882?

We will first find the prime factorization of 32870 and 32882. After we will calculate the factors of 32870 and 32882 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 32882

Prime factors of 32882 are 2, 41, 401. Prime factorization of 32882 in exponential form is:

32882 = 2¹ × 41¹ × 401¹

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 32882

List of positive integer factors of 32882 that divides 32870 without a remainder.

1, 2, 41, 82, 401, 802, 16441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32870 and 32882. The biggest common factor number is the GCF number.
So the greatest common factor 32870 and 32882 is 2.

Also check out the Least Common Multiple of 32870 and 32882