What is the Greatest Common Factor of 27268 and 27285?

Greatest common factor (GCF) of 27268 and 27285 is 17.

GCF(27268,27285) = 17

We will now calculate the prime factors of 27268 and 27285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27268 and 27285.

How to find the GCF of 27268 and 27285?

We will first find the prime factorization of 27268 and 27285. After we will calculate the factors of 27268 and 27285 and find the biggest common factor number .

Step-1: Prime Factorization of 27268

Prime factors of 27268 are 2, 17, 401. Prime factorization of 27268 in exponential form is:

27268 = 2² × 17¹ × 401¹

Step-2: 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-3: Factors of 27268

List of positive integer factors of 27268 that divides 27268 without a remainder.

1, 2, 4, 17, 34, 68, 401, 802, 1604, 6817, 13634

Step-4: Factors of 27285

List of positive integer factors of 27285 that divides 27268 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27268 and 27285. The biggest common factor number is the GCF number.
So the greatest common factor 27268 and 27285 is 17.

Also check out the Least Common Multiple of 27268 and 27285