What is the Greatest Common Factor of 68365 and 68370?

Greatest common factor (GCF) of 68365 and 68370 is 5.

GCF(68365,68370) = 5

We will now calculate the prime factors of 68365 and 68370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68365 and 68370.

How to find the GCF of 68365 and 68370?

We will first find the prime factorization of 68365 and 68370. After we will calculate the factors of 68365 and 68370 and find the biggest common factor number .

Step-1: Prime Factorization of 68365

Prime factors of 68365 are 5, 11, 113. Prime factorization of 68365 in exponential form is:

68365 = 5¹ × 11² × 113¹

Step-2: 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-3: Factors of 68365

List of positive integer factors of 68365 that divides 68365 without a remainder.

1, 5, 11, 55, 113, 121, 565, 605, 1243, 6215, 13673

Step-4: Factors of 68370

List of positive integer factors of 68370 that divides 68365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68365 and 68370. The biggest common factor number is the GCF number.
So the greatest common factor 68365 and 68370 is 5.

Also check out the Least Common Multiple of 68365 and 68370