What is the Greatest Common Factor of 68340 and 68355?

Greatest common factor (GCF) of 68340 and 68355 is 15.

GCF(68340,68355) = 15

We will now calculate the prime factors of 68340 and 68355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68340 and 68355.

How to find the GCF of 68340 and 68355?

We will first find the prime factorization of 68340 and 68355. After we will calculate the factors of 68340 and 68355 and find the biggest common factor number .

Step-1: Prime Factorization of 68340

Prime factors of 68340 are 2, 3, 5, 17, 67. Prime factorization of 68340 in exponential form is:

68340 = 2² × 3¹ × 5¹ × 17¹ × 67¹

Step-2: 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-3: Factors of 68340

List of positive integer factors of 68340 that divides 68340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 67, 68, 85, 102, 134, 170, 201, 204, 255, 268, 335, 340, 402, 510, 670, 804, 1005, 1020, 1139, 1340, 2010, 2278, 3417, 4020, 4556, 5695, 6834, 11390, 13668, 17085, 22780, 34170

Step-4: Factors of 68355

List of positive integer factors of 68355 that divides 68340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68340 and 68355. The biggest common factor number is the GCF number.
So the greatest common factor 68340 and 68355 is 15.

Also check out the Least Common Multiple of 68340 and 68355