What is the Greatest Common Factor of 77355 and 77373?

Greatest common factor (GCF) of 77355 and 77373 is 9.

GCF(77355,77373) = 9

We will now calculate the prime factors of 77355 and 77373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77355 and 77373.

How to find the GCF of 77355 and 77373?

We will first find the prime factorization of 77355 and 77373. After we will calculate the factors of 77355 and 77373 and find the biggest common factor number .

Step-1: Prime Factorization of 77355

Prime factors of 77355 are 3, 5, 191. Prime factorization of 77355 in exponential form is:

77355 = 3⁴ × 5¹ × 191¹

Step-2: Prime Factorization of 77373

Prime factors of 77373 are 3, 8597. Prime factorization of 77373 in exponential form is:

77373 = 3² × 8597¹

Step-3: Factors of 77355

List of positive integer factors of 77355 that divides 77355 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 191, 405, 573, 955, 1719, 2865, 5157, 8595, 15471, 25785

Step-4: Factors of 77373

List of positive integer factors of 77373 that divides 77355 without a remainder.

1, 3, 9, 8597, 25791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77355 and 77373. The biggest common factor number is the GCF number.
So the greatest common factor 77355 and 77373 is 9.

Also check out the Least Common Multiple of 77355 and 77373