What is the Greatest Common Factor of 19472 and 19481?

Greatest common factor (GCF) of 19472 and 19481 is 1.

GCF(19472,19481) = 1

We will now calculate the prime factors of 19472 and 19481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19472 and 19481.

How to find the GCF of 19472 and 19481?

We will first find the prime factorization of 19472 and 19481. After we will calculate the factors of 19472 and 19481 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 19481

Prime factors of 19481 are 7, 11, 23. Prime factorization of 19481 in exponential form is:

19481 = 7¹ × 11² × 23¹

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 19481

List of positive integer factors of 19481 that divides 19472 without a remainder.

1, 7, 11, 23, 77, 121, 161, 253, 847, 1771, 2783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19472 and 19481. The biggest common factor number is the GCF number.
So the greatest common factor 19472 and 19481 is 1.

Also check out the Least Common Multiple of 19472 and 19481