What is the Greatest Common Factor of 19488 and 19494?

Greatest common factor (GCF) of 19488 and 19494 is 6.

GCF(19488,19494) = 6

We will now calculate the prime factors of 19488 and 19494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19488 and 19494.

How to find the GCF of 19488 and 19494?

We will first find the prime factorization of 19488 and 19494. After we will calculate the factors of 19488 and 19494 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 19494

Prime factors of 19494 are 2, 3, 19. Prime factorization of 19494 in exponential form is:

19494 = 2¹ × 3³ × 19²

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 19494

List of positive integer factors of 19494 that divides 19488 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 361, 513, 722, 1026, 1083, 2166, 3249, 6498, 9747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19488 and 19494. The biggest common factor number is the GCF number.
So the greatest common factor 19488 and 19494 is 6.

Also check out the Least Common Multiple of 19488 and 19494