What is the Greatest Common Factor of 77710 and 77725?

Greatest common factor (GCF) of 77710 and 77725 is 5.

GCF(77710,77725) = 5

We will now calculate the prime factors of 77710 and 77725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77710 and 77725.

How to find the GCF of 77710 and 77725?

We will first find the prime factorization of 77710 and 77725. After we will calculate the factors of 77710 and 77725 and find the biggest common factor number .

Step-1: Prime Factorization of 77710

Prime factors of 77710 are 2, 5, 19, 409. Prime factorization of 77710 in exponential form is:

77710 = 2¹ × 5¹ × 19¹ × 409¹

Step-2: Prime Factorization of 77725

Prime factors of 77725 are 5, 3109. Prime factorization of 77725 in exponential form is:

77725 = 5² × 3109¹

Step-3: Factors of 77710

List of positive integer factors of 77710 that divides 77710 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 409, 818, 2045, 4090, 7771, 15542, 38855

Step-4: Factors of 77725

List of positive integer factors of 77725 that divides 77710 without a remainder.

1, 5, 25, 3109, 15545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77710 and 77725. The biggest common factor number is the GCF number.
So the greatest common factor 77710 and 77725 is 5.

Also check out the Least Common Multiple of 77710 and 77725