What is the Greatest Common Factor of 48873 and 48884?

Greatest common factor (GCF) of 48873 and 48884 is 11.

GCF(48873,48884) = 11

We will now calculate the prime factors of 48873 and 48884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48873 and 48884.

How to find the GCF of 48873 and 48884?

We will first find the prime factorization of 48873 and 48884. After we will calculate the factors of 48873 and 48884 and find the biggest common factor number .

Step-1: Prime Factorization of 48873

Prime factors of 48873 are 3, 11, 1481. Prime factorization of 48873 in exponential form is:

48873 = 3¹ × 11¹ × 1481¹

Step-2: Prime Factorization of 48884

Prime factors of 48884 are 2, 11, 101. Prime factorization of 48884 in exponential form is:

48884 = 2² × 11² × 101¹

Step-3: Factors of 48873

List of positive integer factors of 48873 that divides 48873 without a remainder.

1, 3, 11, 33, 1481, 4443, 16291

Step-4: Factors of 48884

List of positive integer factors of 48884 that divides 48873 without a remainder.

1, 2, 4, 11, 22, 44, 101, 121, 202, 242, 404, 484, 1111, 2222, 4444, 12221, 24442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48873 and 48884. The biggest common factor number is the GCF number.
So the greatest common factor 48873 and 48884 is 11.

Also check out the Least Common Multiple of 48873 and 48884