What is the Greatest Common Factor of 27268 and 27282?

Greatest common factor (GCF) of 27268 and 27282 is 2.

GCF(27268,27282) = 2

We will now calculate the prime factors of 27268 and 27282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27268 and 27282.

How to find the GCF of 27268 and 27282?

We will first find the prime factorization of 27268 and 27282. After we will calculate the factors of 27268 and 27282 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 27282

Prime factors of 27282 are 2, 3, 4547. Prime factorization of 27282 in exponential form is:

27282 = 2¹ × 3¹ × 4547¹

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 27282

List of positive integer factors of 27282 that divides 27268 without a remainder.

1, 2, 3, 6, 4547, 9094, 13641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27268 and 27282. The biggest common factor number is the GCF number.
So the greatest common factor 27268 and 27282 is 2.

Also check out the Least Common Multiple of 27268 and 27282