What is the Greatest Common Factor of 77889 and 77895?

Greatest common factor (GCF) of 77889 and 77895 is 3.

GCF(77889,77895) = 3

We will now calculate the prime factors of 77889 and 77895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77889 and 77895.

How to find the GCF of 77889 and 77895?

We will first find the prime factorization of 77889 and 77895. After we will calculate the factors of 77889 and 77895 and find the biggest common factor number .

Step-1: Prime Factorization of 77889

Prime factors of 77889 are 3, 7, 3709. Prime factorization of 77889 in exponential form is:

77889 = 3¹ × 7¹ × 3709¹

Step-2: Prime Factorization of 77895

Prime factors of 77895 are 3, 5, 577. Prime factorization of 77895 in exponential form is:

77895 = 3³ × 5¹ × 577¹

Step-3: Factors of 77889

List of positive integer factors of 77889 that divides 77889 without a remainder.

1, 3, 7, 21, 3709, 11127, 25963

Step-4: Factors of 77895

List of positive integer factors of 77895 that divides 77889 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 577, 1731, 2885, 5193, 8655, 15579, 25965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77889 and 77895. The biggest common factor number is the GCF number.
So the greatest common factor 77889 and 77895 is 3.

Also check out the Least Common Multiple of 77889 and 77895