What is the Greatest Common Factor of 10884 and 10900?

Greatest common factor (GCF) of 10884 and 10900 is 4.

GCF(10884,10900) = 4

We will now calculate the prime factors of 10884 and 10900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10884 and 10900.

How to find the GCF of 10884 and 10900?

We will first find the prime factorization of 10884 and 10900. After we will calculate the factors of 10884 and 10900 and find the biggest common factor number .

Step-1: Prime Factorization of 10884

Prime factors of 10884 are 2, 3, 907. Prime factorization of 10884 in exponential form is:

10884 = 2² × 3¹ × 907¹

Step-2: Prime Factorization of 10900

Prime factors of 10900 are 2, 5, 109. Prime factorization of 10900 in exponential form is:

10900 = 2² × 5² × 109¹

Step-3: Factors of 10884

List of positive integer factors of 10884 that divides 10884 without a remainder.

1, 2, 3, 4, 6, 12, 907, 1814, 2721, 3628, 5442

Step-4: Factors of 10900

List of positive integer factors of 10900 that divides 10884 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 218, 436, 545, 1090, 2180, 2725, 5450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10884 and 10900. The biggest common factor number is the GCF number.
So the greatest common factor 10884 and 10900 is 4.

Also check out the Least Common Multiple of 10884 and 10900