What is the Greatest Common Factor of 67704 and 67721?

Greatest common factor (GCF) of 67704 and 67721 is 1.

GCF(67704,67721) = 1

We will now calculate the prime factors of 67704 and 67721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67704 and 67721.

How to find the GCF of 67704 and 67721?

We will first find the prime factorization of 67704 and 67721. After we will calculate the factors of 67704 and 67721 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 67721

Prime factors of 67721 are 241, 281. Prime factorization of 67721 in exponential form is:

67721 = 241¹ × 281¹

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 67721

List of positive integer factors of 67721 that divides 67704 without a remainder.

1, 241, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67704 and 67721. The biggest common factor number is the GCF number.
So the greatest common factor 67704 and 67721 is 1.

Also check out the Least Common Multiple of 67704 and 67721