What is the Greatest Common Factor of 27585 and 27594?

Greatest common factor (GCF) of 27585 and 27594 is 9.

GCF(27585,27594) = 9

We will now calculate the prime factors of 27585 and 27594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27585 and 27594.

How to find the GCF of 27585 and 27594?

We will first find the prime factorization of 27585 and 27594. After we will calculate the factors of 27585 and 27594 and find the biggest common factor number .

Step-1: Prime Factorization of 27585

Prime factors of 27585 are 3, 5, 613. Prime factorization of 27585 in exponential form is:

27585 = 3² × 5¹ × 613¹

Step-2: Prime Factorization of 27594

Prime factors of 27594 are 2, 3, 7, 73. Prime factorization of 27594 in exponential form is:

27594 = 2¹ × 3³ × 7¹ × 73¹

Step-3: Factors of 27585

List of positive integer factors of 27585 that divides 27585 without a remainder.

1, 3, 5, 9, 15, 45, 613, 1839, 3065, 5517, 9195

Step-4: Factors of 27594

List of positive integer factors of 27594 that divides 27585 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 73, 126, 146, 189, 219, 378, 438, 511, 657, 1022, 1314, 1533, 1971, 3066, 3942, 4599, 9198, 13797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27585 and 27594. The biggest common factor number is the GCF number.
So the greatest common factor 27585 and 27594 is 9.

Also check out the Least Common Multiple of 27585 and 27594