What is the Greatest Common Factor of 77595 and 77609?

Greatest common factor (GCF) of 77595 and 77609 is 7.

GCF(77595,77609) = 7

We will now calculate the prime factors of 77595 and 77609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77595 and 77609.

How to find the GCF of 77595 and 77609?

We will first find the prime factorization of 77595 and 77609. After we will calculate the factors of 77595 and 77609 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 77609

Prime factors of 77609 are 7, 11087. Prime factorization of 77609 in exponential form is:

77609 = 7¹ × 11087¹

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 77609

List of positive integer factors of 77609 that divides 77595 without a remainder.

1, 7, 11087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77595 and 77609. The biggest common factor number is the GCF number.
So the greatest common factor 77595 and 77609 is 7.

Also check out the Least Common Multiple of 77595 and 77609