What is the Greatest Common Factor of 68370 and 68375?

Greatest common factor (GCF) of 68370 and 68375 is 5.

GCF(68370,68375) = 5

We will now calculate the prime factors of 68370 and 68375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68370 and 68375.

How to find the GCF of 68370 and 68375?

We will first find the prime factorization of 68370 and 68375. After we will calculate the factors of 68370 and 68375 and find the biggest common factor number .

Step-1: Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 2¹ × 3¹ × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 68375

Prime factors of 68375 are 5, 547. Prime factorization of 68375 in exponential form is:

68375 = 5³ × 547¹

Step-3: Factors of 68370

List of positive integer factors of 68370 that divides 68370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 53, 86, 106, 129, 159, 215, 258, 265, 318, 430, 530, 645, 795, 1290, 1590, 2279, 4558, 6837, 11395, 13674, 22790, 34185

Step-4: Factors of 68375

List of positive integer factors of 68375 that divides 68370 without a remainder.

1, 5, 25, 125, 547, 2735, 13675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68370 and 68375. The biggest common factor number is the GCF number.
So the greatest common factor 68370 and 68375 is 5.

Also check out the Least Common Multiple of 68370 and 68375