What is the Greatest Common Factor of 77880 and 77888?

Greatest common factor (GCF) of 77880 and 77888 is 8.

GCF(77880,77888) = 8

We will now calculate the prime factors of 77880 and 77888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77880 and 77888.

How to find the GCF of 77880 and 77888?

We will first find the prime factorization of 77880 and 77888. After we will calculate the factors of 77880 and 77888 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77888

Prime factors of 77888 are 2, 1217. Prime factorization of 77888 in exponential form is:

77888 = 2⁶ × 1217¹

Step-3: Factors of 77880

List of positive integer factors of 77880 that divides 77880 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

Step-4: Factors of 77888

List of positive integer factors of 77888 that divides 77880 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1217, 2434, 4868, 9736, 19472, 38944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77880 and 77888. The biggest common factor number is the GCF number.
So the greatest common factor 77880 and 77888 is 8.

Also check out the Least Common Multiple of 77880 and 77888