What is the Greatest Common Factor of 67704 and 67709?

Greatest common factor (GCF) of 67704 and 67709 is 1.

GCF(67704,67709) = 1

We will now calculate the prime factors of 67704 and 67709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67704 and 67709.

How to find the GCF of 67704 and 67709?

We will first find the prime factorization of 67704 and 67709. After we will calculate the factors of 67704 and 67709 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 67709

Prime factors of 67709 are 67709. Prime factorization of 67709 in exponential form is:

67709 = 67709¹

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 67709

List of positive integer factors of 67709 that divides 67704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67704 and 67709. The biggest common factor number is the GCF number.
So the greatest common factor 67704 and 67709 is 1.

Also check out the Least Common Multiple of 67704 and 67709