What is the Greatest Common Factor of 77740 and 77748?

Greatest common factor (GCF) of 77740 and 77748 is 4.

GCF(77740,77748) = 4

We will now calculate the prime factors of 77740 and 77748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77740 and 77748.

How to find the GCF of 77740 and 77748?

We will first find the prime factorization of 77740 and 77748. After we will calculate the factors of 77740 and 77748 and find the biggest common factor number .

Step-1: Prime Factorization of 77740

Prime factors of 77740 are 2, 5, 13, 23. Prime factorization of 77740 in exponential form is:

77740 = 2² × 5¹ × 13² × 23¹

Step-2: Prime Factorization of 77748

Prime factors of 77748 are 2, 3, 11, 19, 31. Prime factorization of 77748 in exponential form is:

77748 = 2² × 3¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 77740

List of positive integer factors of 77740 that divides 77740 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 169, 230, 260, 299, 338, 460, 598, 676, 845, 1196, 1495, 1690, 2990, 3380, 3887, 5980, 7774, 15548, 19435, 38870

Step-4: Factors of 77748

List of positive integer factors of 77748 that divides 77740 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 31, 33, 38, 44, 57, 62, 66, 76, 93, 114, 124, 132, 186, 209, 228, 341, 372, 418, 589, 627, 682, 836, 1023, 1178, 1254, 1364, 1767, 2046, 2356, 2508, 3534, 4092, 6479, 7068, 12958, 19437, 25916, 38874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77740 and 77748. The biggest common factor number is the GCF number.
So the greatest common factor 77740 and 77748 is 4.

Also check out the Least Common Multiple of 77740 and 77748