What is the Greatest Common Factor of 19048 and 19056?

Greatest common factor (GCF) of 19048 and 19056 is 8.

GCF(19048,19056) = 8

We will now calculate the prime factors of 19048 and 19056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19048 and 19056.

How to find the GCF of 19048 and 19056?

We will first find the prime factorization of 19048 and 19056. After we will calculate the factors of 19048 and 19056 and find the biggest common factor number .

Step-1: Prime Factorization of 19048

Prime factors of 19048 are 2, 2381. Prime factorization of 19048 in exponential form is:

19048 = 2³ × 2381¹

Step-2: Prime Factorization of 19056

Prime factors of 19056 are 2, 3, 397. Prime factorization of 19056 in exponential form is:

19056 = 2⁴ × 3¹ × 397¹

Step-3: Factors of 19048

List of positive integer factors of 19048 that divides 19048 without a remainder.

1, 2, 4, 8, 2381, 4762, 9524

Step-4: Factors of 19056

List of positive integer factors of 19056 that divides 19048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19048 and 19056. The biggest common factor number is the GCF number.
So the greatest common factor 19048 and 19056 is 8.

Also check out the Least Common Multiple of 19048 and 19056