What is the Greatest Common Factor of 77640 and 77655?

Greatest common factor (GCF) of 77640 and 77655 is 15.

GCF(77640,77655) = 15

We will now calculate the prime factors of 77640 and 77655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77640 and 77655.

How to find the GCF of 77640 and 77655?

We will first find the prime factorization of 77640 and 77655. After we will calculate the factors of 77640 and 77655 and find the biggest common factor number .

Step-1: Prime Factorization of 77640

Prime factors of 77640 are 2, 3, 5, 647. Prime factorization of 77640 in exponential form is:

77640 = 2³ × 3¹ × 5¹ × 647¹

Step-2: Prime Factorization of 77655

Prime factors of 77655 are 3, 5, 31, 167. Prime factorization of 77655 in exponential form is:

77655 = 3¹ × 5¹ × 31¹ × 167¹

Step-3: Factors of 77640

List of positive integer factors of 77640 that divides 77640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 647, 1294, 1941, 2588, 3235, 3882, 5176, 6470, 7764, 9705, 12940, 15528, 19410, 25880, 38820

Step-4: Factors of 77655

List of positive integer factors of 77655 that divides 77640 without a remainder.

1, 3, 5, 15, 31, 93, 155, 167, 465, 501, 835, 2505, 5177, 15531, 25885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77640 and 77655. The biggest common factor number is the GCF number.
So the greatest common factor 77640 and 77655 is 15.

Also check out the Least Common Multiple of 77640 and 77655