What is the Greatest Common Factor of 27353 and 27370?

Greatest common factor (GCF) of 27353 and 27370 is 17.

GCF(27353,27370) = 17

We will now calculate the prime factors of 27353 and 27370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27353 and 27370.

How to find the GCF of 27353 and 27370?

We will first find the prime factorization of 27353 and 27370. After we will calculate the factors of 27353 and 27370 and find the biggest common factor number .

Step-1: Prime Factorization of 27353

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

27353 = 17¹ × 1609¹

Step-2: Prime Factorization of 27370

Prime factors of 27370 are 2, 5, 7, 17, 23. Prime factorization of 27370 in exponential form is:

27370 = 2¹ × 5¹ × 7¹ × 17¹ × 23¹

Step-3: Factors of 27353

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

1, 17, 1609

Step-4: Factors of 27370

List of positive integer factors of 27370 that divides 27353 without a remainder.

1, 2, 5, 7, 10, 14, 17, 23, 34, 35, 46, 70, 85, 115, 119, 161, 170, 230, 238, 322, 391, 595, 782, 805, 1190, 1610, 1955, 2737, 3910, 5474, 13685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27353 and 27370. The biggest common factor number is the GCF number.
So the greatest common factor 27353 and 27370 is 17.

Also check out the Least Common Multiple of 27353 and 27370