What is the Greatest Common Factor of 67704 and 67718?

Greatest common factor (GCF) of 67704 and 67718 is 14.

GCF(67704,67718) = 14

We will now calculate the prime factors of 67704 and 67718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67704 and 67718.

How to find the GCF of 67704 and 67718?

We will first find the prime factorization of 67704 and 67718. After we will calculate the factors of 67704 and 67718 and find the biggest common factor number .

Step-1: Prime Factorization of 67704

Prime factors of 67704 are 2, 3, 7, 13, 31. Prime factorization of 67704 in exponential form is:

67704 = 2³ × 3¹ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 67718

Prime factors of 67718 are 2, 7, 691. Prime factorization of 67718 in exponential form is:

67718 = 2¹ × 7² × 691¹

Step-3: Factors of 67704

List of positive integer factors of 67704 that divides 67704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 31, 39, 42, 52, 56, 62, 78, 84, 91, 93, 104, 124, 156, 168, 182, 186, 217, 248, 273, 312, 364, 372, 403, 434, 546, 651, 728, 744, 806, 868, 1092, 1209, 1302, 1612, 1736, 2184, 2418, 2604, 2821, 3224, 4836, 5208, 5642, 8463, 9672, 11284, 16926, 22568, 33852

Step-4: Factors of 67718

List of positive integer factors of 67718 that divides 67704 without a remainder.

1, 2, 7, 14, 49, 98, 691, 1382, 4837, 9674, 33859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67704 and 67718. The biggest common factor number is the GCF number.
So the greatest common factor 67704 and 67718 is 14.

Also check out the Least Common Multiple of 67704 and 67718