What is the Greatest Common Factor of 32882 and 32900?

Greatest common factor (GCF) of 32882 and 32900 is 2.

GCF(32882,32900) = 2

We will now calculate the prime factors of 32882 and 32900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32882 and 32900.

How to find the GCF of 32882 and 32900?

We will first find the prime factorization of 32882 and 32900. After we will calculate the factors of 32882 and 32900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32900

Prime factors of 32900 are 2, 5, 7, 47. Prime factorization of 32900 in exponential form is:

32900 = 2² × 5² × 7¹ × 47¹

Step-3: Factors of 32882

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

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

Step-4: Factors of 32900

List of positive integer factors of 32900 that divides 32882 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 47, 50, 70, 94, 100, 140, 175, 188, 235, 329, 350, 470, 658, 700, 940, 1175, 1316, 1645, 2350, 3290, 4700, 6580, 8225, 16450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32882 and 32900. The biggest common factor number is the GCF number.
So the greatest common factor 32882 and 32900 is 2.

Also check out the Least Common Multiple of 32882 and 32900