What is the Greatest Common Factor of 18832 and 18848?

Greatest common factor (GCF) of 18832 and 18848 is 16.

GCF(18832,18848) = 16

We will now calculate the prime factors of 18832 and 18848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18832 and 18848.

How to find the GCF of 18832 and 18848?

We will first find the prime factorization of 18832 and 18848. After we will calculate the factors of 18832 and 18848 and find the biggest common factor number .

Step-1: Prime Factorization of 18832

Prime factors of 18832 are 2, 11, 107. Prime factorization of 18832 in exponential form is:

18832 = 2⁴ × 11¹ × 107¹

Step-2: 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-3: Factors of 18832

List of positive integer factors of 18832 that divides 18832 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 107, 176, 214, 428, 856, 1177, 1712, 2354, 4708, 9416

Step-4: Factors of 18848

List of positive integer factors of 18848 that divides 18832 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18832 and 18848. The biggest common factor number is the GCF number.
So the greatest common factor 18832 and 18848 is 16.

Also check out the Least Common Multiple of 18832 and 18848