What is the Greatest Common Factor of 18848 and 18861?

Greatest common factor (GCF) of 18848 and 18861 is 1.

GCF(18848,18861) = 1

We will now calculate the prime factors of 18848 and 18861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18848 and 18861.

How to find the GCF of 18848 and 18861?

We will first find the prime factorization of 18848 and 18861. After we will calculate the factors of 18848 and 18861 and find the biggest common factor number .

Step-1: Prime Factorization of 18848

Prime factors of 18848 are 2, 19, 31. Prime factorization of 18848 in exponential form is:

18848 = 2⁵ × 19¹ × 31¹

Step-2: Prime Factorization of 18861

Prime factors of 18861 are 3, 6287. Prime factorization of 18861 in exponential form is:

18861 = 3¹ × 6287¹

Step-3: Factors of 18848

List of positive integer factors of 18848 that divides 18848 without a remainder.

1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 76, 124, 152, 248, 304, 496, 589, 608, 992, 1178, 2356, 4712, 9424

Step-4: Factors of 18861

List of positive integer factors of 18861 that divides 18848 without a remainder.

1, 3, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18848 and 18861. The biggest common factor number is the GCF number.
So the greatest common factor 18848 and 18861 is 1.

Also check out the Least Common Multiple of 18848 and 18861