What is the Greatest Common Factor of 77740 and 77745?

Greatest common factor (GCF) of 77740 and 77745 is 5.

GCF(77740,77745) = 5

We will now calculate the prime factors of 77740 and 77745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77740 and 77745.

How to find the GCF of 77740 and 77745?

We will first find the prime factorization of 77740 and 77745. After we will calculate the factors of 77740 and 77745 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 77745

Prime factors of 77745 are 3, 5, 71, 73. Prime factorization of 77745 in exponential form is:

77745 = 3¹ × 5¹ × 71¹ × 73¹

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 77745

List of positive integer factors of 77745 that divides 77740 without a remainder.

1, 3, 5, 15, 71, 73, 213, 219, 355, 365, 1065, 1095, 5183, 15549, 25915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77740 and 77745. The biggest common factor number is the GCF number.
So the greatest common factor 77740 and 77745 is 5.

Also check out the Least Common Multiple of 77740 and 77745