What is the Greatest Common Factor of 27285 and 27303?

Greatest common factor (GCF) of 27285 and 27303 is 3.

GCF(27285,27303) = 3

We will now calculate the prime factors of 27285 and 27303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27285 and 27303.

How to find the GCF of 27285 and 27303?

We will first find the prime factorization of 27285 and 27303. After we will calculate the factors of 27285 and 27303 and find the biggest common factor number .

Step-1: Prime Factorization of 27285

Prime factors of 27285 are 3, 5, 17, 107. Prime factorization of 27285 in exponential form is:

27285 = 3¹ × 5¹ × 17¹ × 107¹

Step-2: 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-3: Factors of 27285

List of positive integer factors of 27285 that divides 27285 without a remainder.

1, 3, 5, 15, 17, 51, 85, 107, 255, 321, 535, 1605, 1819, 5457, 9095

Step-4: Factors of 27303

List of positive integer factors of 27303 that divides 27285 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27285 and 27303. The biggest common factor number is the GCF number.
So the greatest common factor 27285 and 27303 is 3.

Also check out the Least Common Multiple of 27285 and 27303