What is the Greatest Common Factor of 27340 and 27353?

Greatest common factor (GCF) of 27340 and 27353 is 1.

GCF(27340,27353) = 1

We will now calculate the prime factors of 27340 and 27353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27340 and 27353.

How to find the GCF of 27340 and 27353?

We will first find the prime factorization of 27340 and 27353. After we will calculate the factors of 27340 and 27353 and find the biggest common factor number .

Step-1: Prime Factorization of 27340

Prime factors of 27340 are 2, 5, 1367. Prime factorization of 27340 in exponential form is:

27340 = 2² × 5¹ × 1367¹

Step-2: Prime Factorization of 27353

Prime factors of 27353 are 17, 1609. Prime factorization of 27353 in exponential form is:

27353 = 17¹ × 1609¹

Step-3: Factors of 27340

List of positive integer factors of 27340 that divides 27340 without a remainder.

1, 2, 4, 5, 10, 20, 1367, 2734, 5468, 6835, 13670

Step-4: Factors of 27353

List of positive integer factors of 27353 that divides 27340 without a remainder.

1, 17, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27340 and 27353. The biggest common factor number is the GCF number.
So the greatest common factor 27340 and 27353 is 1.

Also check out the Least Common Multiple of 27340 and 27353