What is the Greatest Common Factor of 19488 and 19501?

Greatest common factor (GCF) of 19488 and 19501 is 1.

GCF(19488,19501) = 1

We will now calculate the prime factors of 19488 and 19501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19488 and 19501.

How to find the GCF of 19488 and 19501?

We will first find the prime factorization of 19488 and 19501. After we will calculate the factors of 19488 and 19501 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19501

Prime factors of 19501 are 19501. Prime factorization of 19501 in exponential form is:

19501 = 19501¹

Step-3: Factors of 19488

List of positive integer factors of 19488 that divides 19488 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

Step-4: Factors of 19501

List of positive integer factors of 19501 that divides 19488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19488 and 19501. The biggest common factor number is the GCF number.
So the greatest common factor 19488 and 19501 is 1.

Also check out the Least Common Multiple of 19488 and 19501