What is the Greatest Common Factor of 77595 and 77605?

Greatest common factor (GCF) of 77595 and 77605 is 5.

GCF(77595,77605) = 5

We will now calculate the prime factors of 77595 and 77605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77595 and 77605.

How to find the GCF of 77595 and 77605?

We will first find the prime factorization of 77595 and 77605. After we will calculate the factors of 77595 and 77605 and find the biggest common factor number .

Step-1: Prime Factorization of 77595

Prime factors of 77595 are 3, 5, 7, 739. Prime factorization of 77595 in exponential form is:

77595 = 3¹ × 5¹ × 7¹ × 739¹

Step-2: Prime Factorization of 77605

Prime factors of 77605 are 5, 11, 17, 83. Prime factorization of 77605 in exponential form is:

77605 = 5¹ × 11¹ × 17¹ × 83¹

Step-3: Factors of 77595

List of positive integer factors of 77595 that divides 77595 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 739, 2217, 3695, 5173, 11085, 15519, 25865

Step-4: Factors of 77605

List of positive integer factors of 77605 that divides 77595 without a remainder.

1, 5, 11, 17, 55, 83, 85, 187, 415, 913, 935, 1411, 4565, 7055, 15521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77595 and 77605. The biggest common factor number is the GCF number.
So the greatest common factor 77595 and 77605 is 5.

Also check out the Least Common Multiple of 77595 and 77605