What is the Greatest Common Factor of 19584 and 19601?

Greatest common factor (GCF) of 19584 and 19601 is 17.

GCF(19584,19601) = 17

We will now calculate the prime factors of 19584 and 19601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19584 and 19601.

How to find the GCF of 19584 and 19601?

We will first find the prime factorization of 19584 and 19601. After we will calculate the factors of 19584 and 19601 and find the biggest common factor number .

Step-1: Prime Factorization of 19584

Prime factors of 19584 are 2, 3, 17. Prime factorization of 19584 in exponential form is:

19584 = 2⁷ × 3² × 17¹

Step-2: Prime Factorization of 19601

Prime factors of 19601 are 17, 1153. Prime factorization of 19601 in exponential form is:

19601 = 17¹ × 1153¹

Step-3: Factors of 19584

List of positive integer factors of 19584 that divides 19584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 128, 136, 144, 153, 192, 204, 272, 288, 306, 384, 408, 544, 576, 612, 816, 1088, 1152, 1224, 1632, 2176, 2448, 3264, 4896, 6528, 9792

Step-4: Factors of 19601

List of positive integer factors of 19601 that divides 19584 without a remainder.

1, 17, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19584 and 19601. The biggest common factor number is the GCF number.
So the greatest common factor 19584 and 19601 is 17.

Also check out the Least Common Multiple of 19584 and 19601