What is the Greatest Common Factor of 27591 and 27603?

Greatest common factor (GCF) of 27591 and 27603 is 3.

GCF(27591,27603) = 3

We will now calculate the prime factors of 27591 and 27603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27591 and 27603.

How to find the GCF of 27591 and 27603?

We will first find the prime factorization of 27591 and 27603. After we will calculate the factors of 27591 and 27603 and find the biggest common factor number .

Step-1: Prime Factorization of 27591

Prime factors of 27591 are 3, 17, 541. Prime factorization of 27591 in exponential form is:

27591 = 3¹ × 17¹ × 541¹

Step-2: Prime Factorization of 27603

Prime factors of 27603 are 3, 3067. Prime factorization of 27603 in exponential form is:

27603 = 3² × 3067¹

Step-3: Factors of 27591

List of positive integer factors of 27591 that divides 27591 without a remainder.

1, 3, 17, 51, 541, 1623, 9197

Step-4: Factors of 27603

List of positive integer factors of 27603 that divides 27591 without a remainder.

1, 3, 9, 3067, 9201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27591 and 27603. The biggest common factor number is the GCF number.
So the greatest common factor 27591 and 27603 is 3.

Also check out the Least Common Multiple of 27591 and 27603