What is the Greatest Common Factor of 27704 and 27720?

Greatest common factor (GCF) of 27704 and 27720 is 8.

GCF(27704,27720) = 8

We will now calculate the prime factors of 27704 and 27720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27704 and 27720.

How to find the GCF of 27704 and 27720?

We will first find the prime factorization of 27704 and 27720. After we will calculate the factors of 27704 and 27720 and find the biggest common factor number .

Step-1: Prime Factorization of 27704

Prime factors of 27704 are 2, 3463. Prime factorization of 27704 in exponential form is:

27704 = 2³ × 3463¹

Step-2: Prime Factorization of 27720

Prime factors of 27720 are 2, 3, 5, 7, 11. Prime factorization of 27720 in exponential form is:

27720 = 2³ × 3² × 5¹ × 7¹ × 11¹

Step-3: Factors of 27704

List of positive integer factors of 27704 that divides 27704 without a remainder.

1, 2, 4, 8, 3463, 6926, 13852

Step-4: Factors of 27720

List of positive integer factors of 27720 that divides 27704 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 110, 120, 126, 132, 140, 154, 165, 168, 180, 198, 210, 220, 231, 252, 264, 280, 308, 315, 330, 360, 385, 396, 420, 440, 462, 495, 504, 616, 630, 660, 693, 770, 792, 840, 924, 990, 1155, 1260, 1320, 1386, 1540, 1848, 1980, 2310, 2520, 2772, 3080, 3465, 3960, 4620, 5544, 6930, 9240, 13860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27704 and 27720. The biggest common factor number is the GCF number.
So the greatest common factor 27704 and 27720 is 8.

Also check out the Least Common Multiple of 27704 and 27720