What is the Greatest Common Factor of 68325 and 68334?

Greatest common factor (GCF) of 68325 and 68334 is 3.

GCF(68325,68334) = 3

We will now calculate the prime factors of 68325 and 68334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68325 and 68334.

How to find the GCF of 68325 and 68334?

We will first find the prime factorization of 68325 and 68334. After we will calculate the factors of 68325 and 68334 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 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 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 68334

List of positive integer factors of 68334 that divides 68325 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 68325 and 68334. The biggest common factor number is the GCF number.
So the greatest common factor 68325 and 68334 is 3.

Also check out the Least Common Multiple of 68325 and 68334