What is the Greatest Common Factor of 68655 and 68664?

Greatest common factor (GCF) of 68655 and 68664 is 3.

GCF(68655,68664) = 3

We will now calculate the prime factors of 68655 and 68664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68655 and 68664.

How to find the GCF of 68655 and 68664?

We will first find the prime factorization of 68655 and 68664. After we will calculate the factors of 68655 and 68664 and find the biggest common factor number .

Step-1: Prime Factorization of 68655

Prime factors of 68655 are 3, 5, 23, 199. Prime factorization of 68655 in exponential form is:

68655 = 3¹ × 5¹ × 23¹ × 199¹

Step-2: Prime Factorization of 68664

Prime factors of 68664 are 2, 3, 2861. Prime factorization of 68664 in exponential form is:

68664 = 2³ × 3¹ × 2861¹

Step-3: Factors of 68655

List of positive integer factors of 68655 that divides 68655 without a remainder.

1, 3, 5, 15, 23, 69, 115, 199, 345, 597, 995, 2985, 4577, 13731, 22885

Step-4: Factors of 68664

List of positive integer factors of 68664 that divides 68655 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2861, 5722, 8583, 11444, 17166, 22888, 34332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68655 and 68664. The biggest common factor number is the GCF number.
So the greatest common factor 68655 and 68664 is 3.

Also check out the Least Common Multiple of 68655 and 68664