What is the Greatest Common Factor of 27713 and 27720?

Greatest common factor (GCF) of 27713 and 27720 is 7.

GCF(27713,27720) = 7

We will now calculate the prime factors of 27713 and 27720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27713 and 27720.

How to find the GCF of 27713 and 27720?

We will first find the prime factorization of 27713 and 27720. After we will calculate the factors of 27713 and 27720 and find the biggest common factor number .

Step-1: Prime Factorization of 27713

Prime factors of 27713 are 7, 37, 107. Prime factorization of 27713 in exponential form is:

27713 = 7¹ × 37¹ × 107¹

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 27713

List of positive integer factors of 27713 that divides 27713 without a remainder.

1, 7, 37, 107, 259, 749, 3959

Step-4: Factors of 27720

List of positive integer factors of 27720 that divides 27713 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 27713 and 27720. The biggest common factor number is the GCF number.
So the greatest common factor 27713 and 27720 is 7.

Also check out the Least Common Multiple of 27713 and 27720