What is the Greatest Common Factor of 19584 and 19588?

Greatest common factor (GCF) of 19584 and 19588 is 4.

GCF(19584,19588) = 4

We will now calculate the prime factors of 19584 and 19588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19584 and 19588.

How to find the GCF of 19584 and 19588?

We will first find the prime factorization of 19584 and 19588. After we will calculate the factors of 19584 and 19588 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 19588

Prime factors of 19588 are 2, 59, 83. Prime factorization of 19588 in exponential form is:

19588 = 2² × 59¹ × 83¹

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 19588

List of positive integer factors of 19588 that divides 19584 without a remainder.

1, 2, 4, 59, 83, 118, 166, 236, 332, 4897, 9794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19584 and 19588. The biggest common factor number is the GCF number.
So the greatest common factor 19584 and 19588 is 4.

Also check out the Least Common Multiple of 19584 and 19588