What is the Greatest Common Factor of 68325 and 68340?

Greatest common factor (GCF) of 68325 and 68340 is 15.

GCF(68325,68340) = 15

We will now calculate the prime factors of 68325 and 68340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68325 and 68340.

How to find the GCF of 68325 and 68340?

We will first find the prime factorization of 68325 and 68340. After we will calculate the factors of 68325 and 68340 and find the biggest common factor number .

Step-1: Prime Factorization of 68325

Prime factors of 68325 are 3, 5, 911. Prime factorization of 68325 in exponential form is:

68325 = 3¹ × 5² × 911¹

Step-2: 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-3: Factors of 68325

List of positive integer factors of 68325 that divides 68325 without a remainder.

1, 3, 5, 15, 25, 75, 911, 2733, 4555, 13665, 22775

Step-4: Factors of 68340

List of positive integer factors of 68340 that divides 68325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68325 and 68340. The biggest common factor number is the GCF number.
So the greatest common factor 68325 and 68340 is 15.

Also check out the Least Common Multiple of 68325 and 68340