What is the Greatest Common Factor of 27807 and 27824?

Greatest common factor (GCF) of 27807 and 27824 is 1.

GCF(27807,27824) = 1

We will now calculate the prime factors of 27807 and 27824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27807 and 27824.

How to find the GCF of 27807 and 27824?

We will first find the prime factorization of 27807 and 27824. After we will calculate the factors of 27807 and 27824 and find the biggest common factor number .

Step-1: Prime Factorization of 27807

Prime factors of 27807 are 3, 13, 23, 31. Prime factorization of 27807 in exponential form is:

27807 = 3¹ × 13¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 27807

List of positive integer factors of 27807 that divides 27807 without a remainder.

1, 3, 13, 23, 31, 39, 69, 93, 299, 403, 713, 897, 1209, 2139, 9269

Step-4: Factors of 27824

List of positive integer factors of 27824 that divides 27807 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27807 and 27824. The biggest common factor number is the GCF number.
So the greatest common factor 27807 and 27824 is 1.

Also check out the Least Common Multiple of 27807 and 27824