What is the Greatest Common Factor of 68334 and 68344?

Greatest common factor (GCF) of 68334 and 68344 is 2.

GCF(68334,68344) = 2

We will now calculate the prime factors of 68334 and 68344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68334 and 68344.

How to find the GCF of 68334 and 68344?

We will first find the prime factorization of 68334 and 68344. After we will calculate the factors of 68334 and 68344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68344

Prime factors of 68344 are 2, 8543. Prime factorization of 68344 in exponential form is:

68344 = 2³ × 8543¹

Step-3: Factors of 68334

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

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

Step-4: Factors of 68344

List of positive integer factors of 68344 that divides 68334 without a remainder.

1, 2, 4, 8, 8543, 17086, 34172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68334 and 68344. The biggest common factor number is the GCF number.
So the greatest common factor 68334 and 68344 is 2.

Also check out the Least Common Multiple of 68334 and 68344