What is the Greatest Common Factor of 77875 and 77880?

Greatest common factor (GCF) of 77875 and 77880 is 5.

GCF(77875,77880) = 5

We will now calculate the prime factors of 77875 and 77880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77875 and 77880.

How to find the GCF of 77875 and 77880?

We will first find the prime factorization of 77875 and 77880. After we will calculate the factors of 77875 and 77880 and find the biggest common factor number .

Step-1: Prime Factorization of 77875

Prime factors of 77875 are 5, 7, 89. Prime factorization of 77875 in exponential form is:

77875 = 5³ × 7¹ × 89¹

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 77875

List of positive integer factors of 77875 that divides 77875 without a remainder.

1, 5, 7, 25, 35, 89, 125, 175, 445, 623, 875, 2225, 3115, 11125, 15575

Step-4: Factors of 77880

List of positive integer factors of 77880 that divides 77875 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 77875 and 77880. The biggest common factor number is the GCF number.
So the greatest common factor 77875 and 77880 is 5.

Also check out the Least Common Multiple of 77875 and 77880