What is the Greatest Common Factor of 68355 and 68370?

Greatest common factor (GCF) of 68355 and 68370 is 15.

GCF(68355,68370) = 15

We will now calculate the prime factors of 68355 and 68370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68355 and 68370.

How to find the GCF of 68355 and 68370?

We will first find the prime factorization of 68355 and 68370. After we will calculate the factors of 68355 and 68370 and find the biggest common factor number .

Step-1: Prime Factorization of 68355

Prime factors of 68355 are 3, 5, 7, 31. Prime factorization of 68355 in exponential form is:

68355 = 3² × 5¹ × 7² × 31¹

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 68355

List of positive integer factors of 68355 that divides 68355 without a remainder.

1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 49, 63, 93, 105, 147, 155, 217, 245, 279, 315, 441, 465, 651, 735, 1085, 1395, 1519, 1953, 2205, 3255, 4557, 7595, 9765, 13671, 22785

Step-4: Factors of 68370

List of positive integer factors of 68370 that divides 68355 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 68355 and 68370. The biggest common factor number is the GCF number.
So the greatest common factor 68355 and 68370 is 15.

Also check out the Least Common Multiple of 68355 and 68370