What is the Greatest Common Factor of 77871 and 77880?

Greatest common factor (GCF) of 77871 and 77880 is 3.

GCF(77871,77880) = 3

We will now calculate the prime factors of 77871 and 77880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77871 and 77880.

How to find the GCF of 77871 and 77880?

We will first find the prime factorization of 77871 and 77880. After we will calculate the factors of 77871 and 77880 and find the biggest common factor number .

Step-1: Prime Factorization of 77871

Prime factors of 77871 are 3, 101, 257. Prime factorization of 77871 in exponential form is:

77871 = 3¹ × 101¹ × 257¹

Step-2: Prime Factorization of 77880

Prime factors of 77880 are 2, 3, 5, 11, 59. Prime factorization of 77880 in exponential form is:

77880 = 2³ × 3¹ × 5¹ × 11¹ × 59¹

Step-3: Factors of 77871

List of positive integer factors of 77871 that divides 77871 without a remainder.

1, 3, 101, 257, 303, 771, 25957

Step-4: Factors of 77880

List of positive integer factors of 77880 that divides 77871 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 59, 60, 66, 88, 110, 118, 120, 132, 165, 177, 220, 236, 264, 295, 330, 354, 440, 472, 590, 649, 660, 708, 885, 1180, 1298, 1320, 1416, 1770, 1947, 2360, 2596, 3245, 3540, 3894, 5192, 6490, 7080, 7788, 9735, 12980, 15576, 19470, 25960, 38940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77871 and 77880. The biggest common factor number is the GCF number.
So the greatest common factor 77871 and 77880 is 3.

Also check out the Least Common Multiple of 77871 and 77880