What is the Greatest Common Factor of 27707 and 27720?

Greatest common factor (GCF) of 27707 and 27720 is 1.

GCF(27707,27720) = 1

We will now calculate the prime factors of 27707 and 27720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27707 and 27720.

How to find the GCF of 27707 and 27720?

We will first find the prime factorization of 27707 and 27720. After we will calculate the factors of 27707 and 27720 and find the biggest common factor number .

Step-1: Prime Factorization of 27707

Prime factors of 27707 are 103, 269. Prime factorization of 27707 in exponential form is:

27707 = 103¹ × 269¹

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 27707

List of positive integer factors of 27707 that divides 27707 without a remainder.

1, 103, 269

Step-4: Factors of 27720

List of positive integer factors of 27720 that divides 27707 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 27707 and 27720. The biggest common factor number is the GCF number.
So the greatest common factor 27707 and 27720 is 1.

Also check out the Least Common Multiple of 27707 and 27720