What is the Greatest Common Factor of 67824 and 67829?

Greatest common factor (GCF) of 67824 and 67829 is 1.

GCF(67824,67829) = 1

We will now calculate the prime factors of 67824 and 67829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67824 and 67829.

How to find the GCF of 67824 and 67829?

We will first find the prime factorization of 67824 and 67829. After we will calculate the factors of 67824 and 67829 and find the biggest common factor number .

Step-1: Prime Factorization of 67824

Prime factors of 67824 are 2, 3, 157. Prime factorization of 67824 in exponential form is:

67824 = 2⁴ × 3³ × 157¹

Step-2: Prime Factorization of 67829

Prime factors of 67829 are 67829. Prime factorization of 67829 in exponential form is:

67829 = 67829¹

Step-3: Factors of 67824

List of positive integer factors of 67824 that divides 67824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 157, 216, 314, 432, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 4239, 5652, 7536, 8478, 11304, 16956, 22608, 33912

Step-4: Factors of 67829

List of positive integer factors of 67829 that divides 67824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67824 and 67829. The biggest common factor number is the GCF number.
So the greatest common factor 67824 and 67829 is 1.

Also check out the Least Common Multiple of 67824 and 67829