What is the Greatest Common Factor of 77870 and 77880?

Greatest common factor (GCF) of 77870 and 77880 is 10.

GCF(77870,77880) = 10

We will now calculate the prime factors of 77870 and 77880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77870 and 77880.

How to find the GCF of 77870 and 77880?

We will first find the prime factorization of 77870 and 77880. After we will calculate the factors of 77870 and 77880 and find the biggest common factor number .

Step-1: Prime Factorization of 77870

Prime factors of 77870 are 2, 5, 13, 599. Prime factorization of 77870 in exponential form is:

77870 = 2¹ × 5¹ × 13¹ × 599¹

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 77870

List of positive integer factors of 77870 that divides 77870 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 599, 1198, 2995, 5990, 7787, 15574, 38935

Step-4: Factors of 77880

List of positive integer factors of 77880 that divides 77870 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 77870 and 77880. The biggest common factor number is the GCF number.
So the greatest common factor 77870 and 77880 is 10.

Also check out the Least Common Multiple of 77870 and 77880