What is the Greatest Common Factor of 27584 and 27599?

Greatest common factor (GCF) of 27584 and 27599 is 1.

GCF(27584,27599) = 1

We will now calculate the prime factors of 27584 and 27599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27584 and 27599.

How to find the GCF of 27584 and 27599?

We will first find the prime factorization of 27584 and 27599. After we will calculate the factors of 27584 and 27599 and find the biggest common factor number .

Step-1: Prime Factorization of 27584

Prime factors of 27584 are 2, 431. Prime factorization of 27584 in exponential form is:

27584 = 2⁶ × 431¹

Step-2: Prime Factorization of 27599

Prime factors of 27599 are 11, 13, 193. Prime factorization of 27599 in exponential form is:

27599 = 11¹ × 13¹ × 193¹

Step-3: Factors of 27584

List of positive integer factors of 27584 that divides 27584 without a remainder.

1, 2, 4, 8, 16, 32, 64, 431, 862, 1724, 3448, 6896, 13792

Step-4: Factors of 27599

List of positive integer factors of 27599 that divides 27584 without a remainder.

1, 11, 13, 143, 193, 2123, 2509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27584 and 27599. The biggest common factor number is the GCF number.
So the greatest common factor 27584 and 27599 is 1.

Also check out the Least Common Multiple of 27584 and 27599