What is the Greatest Common Factor of 77655 and 77661?

Greatest common factor (GCF) of 77655 and 77661 is 3.

GCF(77655,77661) = 3

We will now calculate the prime factors of 77655 and 77661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77655 and 77661.

How to find the GCF of 77655 and 77661?

We will first find the prime factorization of 77655 and 77661. After we will calculate the factors of 77655 and 77661 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77661

Prime factors of 77661 are 3, 8629. Prime factorization of 77661 in exponential form is:

77661 = 3² × 8629¹

Step-3: Factors of 77655

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

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

Step-4: Factors of 77661

List of positive integer factors of 77661 that divides 77655 without a remainder.

1, 3, 9, 8629, 25887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77655 and 77661. The biggest common factor number is the GCF number.
So the greatest common factor 77655 and 77661 is 3.

Also check out the Least Common Multiple of 77655 and 77661