What is the Greatest Common Factor of 19408 and 19428?

Greatest common factor (GCF) of 19408 and 19428 is 4.

GCF(19408,19428) = 4

We will now calculate the prime factors of 19408 and 19428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19408 and 19428.

How to find the GCF of 19408 and 19428?

We will first find the prime factorization of 19408 and 19428. After we will calculate the factors of 19408 and 19428 and find the biggest common factor number .

Step-1: Prime Factorization of 19408

Prime factors of 19408 are 2, 1213. Prime factorization of 19408 in exponential form is:

19408 = 2⁴ × 1213¹

Step-2: Prime Factorization of 19428

Prime factors of 19428 are 2, 3, 1619. Prime factorization of 19428 in exponential form is:

19428 = 2² × 3¹ × 1619¹

Step-3: Factors of 19408

List of positive integer factors of 19408 that divides 19408 without a remainder.

1, 2, 4, 8, 16, 1213, 2426, 4852, 9704

Step-4: Factors of 19428

List of positive integer factors of 19428 that divides 19408 without a remainder.

1, 2, 3, 4, 6, 12, 1619, 3238, 4857, 6476, 9714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19408 and 19428. The biggest common factor number is the GCF number.
So the greatest common factor 19408 and 19428 is 4.

Also check out the Least Common Multiple of 19408 and 19428