What is the Greatest Common Factor of 32888 and 32900?

Greatest common factor (GCF) of 32888 and 32900 is 4.

GCF(32888,32900) = 4

We will now calculate the prime factors of 32888 and 32900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32888 and 32900.

How to find the GCF of 32888 and 32900?

We will first find the prime factorization of 32888 and 32900. After we will calculate the factors of 32888 and 32900 and find the biggest common factor number .

Step-1: Prime Factorization of 32888

Prime factors of 32888 are 2, 4111. Prime factorization of 32888 in exponential form is:

32888 = 2³ × 4111¹

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 32888

List of positive integer factors of 32888 that divides 32888 without a remainder.

1, 2, 4, 8, 4111, 8222, 16444

Step-4: Factors of 32900

List of positive integer factors of 32900 that divides 32888 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 32888 and 32900. The biggest common factor number is the GCF number.
So the greatest common factor 32888 and 32900 is 4.

Also check out the Least Common Multiple of 32888 and 32900