What is the Greatest Common Factor of 27810 and 27824?

Greatest common factor (GCF) of 27810 and 27824 is 2.

GCF(27810,27824) = 2

We will now calculate the prime factors of 27810 and 27824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27810 and 27824.

How to find the GCF of 27810 and 27824?

We will first find the prime factorization of 27810 and 27824. After we will calculate the factors of 27810 and 27824 and find the biggest common factor number .

Step-1: Prime Factorization of 27810

Prime factors of 27810 are 2, 3, 5, 103. Prime factorization of 27810 in exponential form is:

27810 = 2¹ × 3³ × 5¹ × 103¹

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 27810

List of positive integer factors of 27810 that divides 27810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 103, 135, 206, 270, 309, 515, 618, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 9270, 13905

Step-4: Factors of 27824

List of positive integer factors of 27824 that divides 27810 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 27810 and 27824. The biggest common factor number is the GCF number.
So the greatest common factor 27810 and 27824 is 2.

Also check out the Least Common Multiple of 27810 and 27824