What is the Greatest Common Factor of 18829 and 18848?

Greatest common factor (GCF) of 18829 and 18848 is 19.

GCF(18829,18848) = 19

We will now calculate the prime factors of 18829 and 18848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18829 and 18848.

How to find the GCF of 18829 and 18848?

We will first find the prime factorization of 18829 and 18848. After we will calculate the factors of 18829 and 18848 and find the biggest common factor number .

Step-1: Prime Factorization of 18829

Prime factors of 18829 are 19, 991. Prime factorization of 18829 in exponential form is:

18829 = 19¹ × 991¹

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 18829

List of positive integer factors of 18829 that divides 18829 without a remainder.

1, 19, 991

Step-4: Factors of 18848

List of positive integer factors of 18848 that divides 18829 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 18829 and 18848. The biggest common factor number is the GCF number.
So the greatest common factor 18829 and 18848 is 19.

Also check out the Least Common Multiple of 18829 and 18848