What is the Greatest Common Factor of 68649 and 68664?

Greatest common factor (GCF) of 68649 and 68664 is 3.

GCF(68649,68664) = 3

We will now calculate the prime factors of 68649 and 68664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68649 and 68664.

How to find the GCF of 68649 and 68664?

We will first find the prime factorization of 68649 and 68664. After we will calculate the factors of 68649 and 68664 and find the biggest common factor number .

Step-1: Prime Factorization of 68649

Prime factors of 68649 are 3, 7, 467. Prime factorization of 68649 in exponential form is:

68649 = 3¹ × 7² × 467¹

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 68649

List of positive integer factors of 68649 that divides 68649 without a remainder.

1, 3, 7, 21, 49, 147, 467, 1401, 3269, 9807, 22883

Step-4: Factors of 68664

List of positive integer factors of 68664 that divides 68649 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 68649 and 68664. The biggest common factor number is the GCF number.
So the greatest common factor 68649 and 68664 is 3.

Also check out the Least Common Multiple of 68649 and 68664