What is the Greatest Common Factor of 77880 and 77899?

Greatest common factor (GCF) of 77880 and 77899 is 1.

GCF(77880,77899) = 1

We will now calculate the prime factors of 77880 and 77899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77880 and 77899.

How to find the GCF of 77880 and 77899?

We will first find the prime factorization of 77880 and 77899. After we will calculate the factors of 77880 and 77899 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 77899

Prime factors of 77899 are 77899. Prime factorization of 77899 in exponential form is:

77899 = 77899¹

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 77899

List of positive integer factors of 77899 that divides 77880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77880 and 77899. The biggest common factor number is the GCF number.
So the greatest common factor 77880 and 77899 is 1.

Also check out the Least Common Multiple of 77880 and 77899