What is the Greatest Common Factor of 77655 and 77673?

Greatest common factor (GCF) of 77655 and 77673 is 3.

GCF(77655,77673) = 3

We will now calculate the prime factors of 77655 and 77673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77655 and 77673.

How to find the GCF of 77655 and 77673?

We will first find the prime factorization of 77655 and 77673. After we will calculate the factors of 77655 and 77673 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 77673

Prime factors of 77673 are 3, 17, 1523. Prime factorization of 77673 in exponential form is:

77673 = 3¹ × 17¹ × 1523¹

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 77673

List of positive integer factors of 77673 that divides 77655 without a remainder.

1, 3, 17, 51, 1523, 4569, 25891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77655 and 77673. The biggest common factor number is the GCF number.
So the greatest common factor 77655 and 77673 is 3.

Also check out the Least Common Multiple of 77655 and 77673