What is the Greatest Common Factor of 19472 and 19488?

Greatest common factor (GCF) of 19472 and 19488 is 16.

GCF(19472,19488) = 16

We will now calculate the prime factors of 19472 and 19488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19472 and 19488.

How to find the GCF of 19472 and 19488?

We will first find the prime factorization of 19472 and 19488. After we will calculate the factors of 19472 and 19488 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 19488

Prime factors of 19488 are 2, 3, 7, 29. Prime factorization of 19488 in exponential form is:

19488 = 2⁵ × 3¹ × 7¹ × 29¹

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 19488

List of positive integer factors of 19488 that divides 19472 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 32, 42, 48, 56, 58, 84, 87, 96, 112, 116, 168, 174, 203, 224, 232, 336, 348, 406, 464, 609, 672, 696, 812, 928, 1218, 1392, 1624, 2436, 2784, 3248, 4872, 6496, 9744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19472 and 19488. The biggest common factor number is the GCF number.
So the greatest common factor 19472 and 19488 is 16.

Also check out the Least Common Multiple of 19472 and 19488