What is the Greatest Common Factor of 27824 and 27829?

Greatest common factor (GCF) of 27824 and 27829 is 1.

GCF(27824,27829) = 1

We will now calculate the prime factors of 27824 and 27829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27824 and 27829.

How to find the GCF of 27824 and 27829?

We will first find the prime factorization of 27824 and 27829. After we will calculate the factors of 27824 and 27829 and find the biggest common factor number .

Step-1: Prime Factorization of 27824

Prime factors of 27824 are 2, 37, 47. Prime factorization of 27824 in exponential form is:

27824 = 2⁴ × 37¹ × 47¹

Step-2: Prime Factorization of 27829

Prime factors of 27829 are 17, 1637. Prime factorization of 27829 in exponential form is:

27829 = 17¹ × 1637¹

Step-3: Factors of 27824

List of positive integer factors of 27824 that divides 27824 without a remainder.

1, 2, 4, 8, 16, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752, 1739, 3478, 6956, 13912

Step-4: Factors of 27829

List of positive integer factors of 27829 that divides 27824 without a remainder.

1, 17, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27824 and 27829. The biggest common factor number is the GCF number.
So the greatest common factor 27824 and 27829 is 1.

Also check out the Least Common Multiple of 27824 and 27829