What is the Greatest Common Factor of 19472 and 19483?

Greatest common factor (GCF) of 19472 and 19483 is 1.

GCF(19472,19483) = 1

We will now calculate the prime factors of 19472 and 19483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19472 and 19483.

How to find the GCF of 19472 and 19483?

We will first find the prime factorization of 19472 and 19483. After we will calculate the factors of 19472 and 19483 and find the biggest common factor number .

Step-1: Prime Factorization of 19472

Prime factors of 19472 are 2, 1217. Prime factorization of 19472 in exponential form is:

19472 = 2⁴ × 1217¹

Step-2: Prime Factorization of 19483

Prime factors of 19483 are 19483. Prime factorization of 19483 in exponential form is:

19483 = 19483¹

Step-3: Factors of 19472

List of positive integer factors of 19472 that divides 19472 without a remainder.

1, 2, 4, 8, 16, 1217, 2434, 4868, 9736

Step-4: Factors of 19483

List of positive integer factors of 19483 that divides 19472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19472 and 19483. The biggest common factor number is the GCF number.
So the greatest common factor 19472 and 19483 is 1.

Also check out the Least Common Multiple of 19472 and 19483