What is the Greatest Common Factor of 48861 and 48879?

Greatest common factor (GCF) of 48861 and 48879 is 9.

GCF(48861,48879) = 9

We will now calculate the prime factors of 48861 and 48879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48861 and 48879.

How to find the GCF of 48861 and 48879?

We will first find the prime factorization of 48861 and 48879. After we will calculate the factors of 48861 and 48879 and find the biggest common factor number .

Step-1: Prime Factorization of 48861

Prime factors of 48861 are 3, 61, 89. Prime factorization of 48861 in exponential form is:

48861 = 3² × 61¹ × 89¹

Step-2: Prime Factorization of 48879

Prime factors of 48879 are 3, 5431. Prime factorization of 48879 in exponential form is:

48879 = 3² × 5431¹

Step-3: Factors of 48861

List of positive integer factors of 48861 that divides 48861 without a remainder.

1, 3, 9, 61, 89, 183, 267, 549, 801, 5429, 16287

Step-4: Factors of 48879

List of positive integer factors of 48879 that divides 48861 without a remainder.

1, 3, 9, 5431, 16293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48861 and 48879. The biggest common factor number is the GCF number.
So the greatest common factor 48861 and 48879 is 9.

Also check out the Least Common Multiple of 48861 and 48879