What is the Greatest Common Factor of 68319 and 68334?

Greatest common factor (GCF) of 68319 and 68334 is 3.

GCF(68319,68334) = 3

We will now calculate the prime factors of 68319 and 68334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68319 and 68334.

How to find the GCF of 68319 and 68334?

We will first find the prime factorization of 68319 and 68334. After we will calculate the factors of 68319 and 68334 and find the biggest common factor number .

Step-1: Prime Factorization of 68319

Prime factors of 68319 are 3, 7591. Prime factorization of 68319 in exponential form is:

68319 = 3² × 7591¹

Step-2: Prime Factorization of 68334

Prime factors of 68334 are 2, 3, 7, 1627. Prime factorization of 68334 in exponential form is:

68334 = 2¹ × 3¹ × 7¹ × 1627¹

Step-3: Factors of 68319

List of positive integer factors of 68319 that divides 68319 without a remainder.

1, 3, 9, 7591, 22773

Step-4: Factors of 68334

List of positive integer factors of 68334 that divides 68319 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1627, 3254, 4881, 9762, 11389, 22778, 34167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68319 and 68334. The biggest common factor number is the GCF number.
So the greatest common factor 68319 and 68334 is 3.

Also check out the Least Common Multiple of 68319 and 68334