What is the Greatest Common Factor of 77600 and 77609?

Greatest common factor (GCF) of 77600 and 77609 is 1.

GCF(77600,77609) = 1

We will now calculate the prime factors of 77600 and 77609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77600 and 77609.

How to find the GCF of 77600 and 77609?

We will first find the prime factorization of 77600 and 77609. After we will calculate the factors of 77600 and 77609 and find the biggest common factor number .

Step-1: Prime Factorization of 77600

Prime factors of 77600 are 2, 5, 97. Prime factorization of 77600 in exponential form is:

77600 = 2⁵ × 5² × 97¹

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 77600

List of positive integer factors of 77600 that divides 77600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 97, 100, 160, 194, 200, 388, 400, 485, 776, 800, 970, 1552, 1940, 2425, 3104, 3880, 4850, 7760, 9700, 15520, 19400, 38800

Step-4: Factors of 77609

List of positive integer factors of 77609 that divides 77600 without a remainder.

1, 7, 11087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77600 and 77609. The biggest common factor number is the GCF number.
So the greatest common factor 77600 and 77609 is 1.

Also check out the Least Common Multiple of 77600 and 77609