What is the Greatest Common Factor of 27303 and 27312?

Greatest common factor (GCF) of 27303 and 27312 is 3.

GCF(27303,27312) = 3

We will now calculate the prime factors of 27303 and 27312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27303 and 27312.

How to find the GCF of 27303 and 27312?

We will first find the prime factorization of 27303 and 27312. After we will calculate the factors of 27303 and 27312 and find the biggest common factor number .

Step-1: Prime Factorization of 27303

Prime factors of 27303 are 3, 19, 479. Prime factorization of 27303 in exponential form is:

27303 = 3¹ × 19¹ × 479¹

Step-2: Prime Factorization of 27312

Prime factors of 27312 are 2, 3, 569. Prime factorization of 27312 in exponential form is:

27312 = 2⁴ × 3¹ × 569¹

Step-3: Factors of 27303

List of positive integer factors of 27303 that divides 27303 without a remainder.

1, 3, 19, 57, 479, 1437, 9101

Step-4: Factors of 27312

List of positive integer factors of 27312 that divides 27303 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 569, 1138, 1707, 2276, 3414, 4552, 6828, 9104, 13656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27303 and 27312. The biggest common factor number is the GCF number.
So the greatest common factor 27303 and 27312 is 3.

Also check out the Least Common Multiple of 27303 and 27312