What is the Greatest Common Factor of 67608 and 67614?

Greatest common factor (GCF) of 67608 and 67614 is 6.

GCF(67608,67614) = 6

We will now calculate the prime factors of 67608 and 67614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67608 and 67614.

How to find the GCF of 67608 and 67614?

We will first find the prime factorization of 67608 and 67614. After we will calculate the factors of 67608 and 67614 and find the biggest common factor number .

Step-1: Prime Factorization of 67608

Prime factors of 67608 are 2, 3, 313. Prime factorization of 67608 in exponential form is:

67608 = 2³ × 3³ × 313¹

Step-2: Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 2¹ × 3¹ × 59¹ × 191¹

Step-3: Factors of 67608

List of positive integer factors of 67608 that divides 67608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5634, 7512, 8451, 11268, 16902, 22536, 33804

Step-4: Factors of 67614

List of positive integer factors of 67614 that divides 67608 without a remainder.

1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67608 and 67614. The biggest common factor number is the GCF number.
So the greatest common factor 67608 and 67614 is 6.

Also check out the Least Common Multiple of 67608 and 67614