What is the Greatest Common Factor of 27370 and 27375?

Greatest common factor (GCF) of 27370 and 27375 is 5.

GCF(27370,27375) = 5

We will now calculate the prime factors of 27370 and 27375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27370 and 27375.

How to find the GCF of 27370 and 27375?

We will first find the prime factorization of 27370 and 27375. After we will calculate the factors of 27370 and 27375 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27375

Prime factors of 27375 are 3, 5, 73. Prime factorization of 27375 in exponential form is:

27375 = 3¹ × 5³ × 73¹

Step-3: Factors of 27370

List of positive integer factors of 27370 that divides 27370 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

Step-4: Factors of 27375

List of positive integer factors of 27375 that divides 27370 without a remainder.

1, 3, 5, 15, 25, 73, 75, 125, 219, 365, 375, 1095, 1825, 5475, 9125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27370 and 27375. The biggest common factor number is the GCF number.
So the greatest common factor 27370 and 27375 is 5.

Also check out the Least Common Multiple of 27370 and 27375