What is the Greatest Common Factor of 77889 and 77898?

Greatest common factor (GCF) of 77889 and 77898 is 3.

GCF(77889,77898) = 3

We will now calculate the prime factors of 77889 and 77898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77889 and 77898.

How to find the GCF of 77889 and 77898?

We will first find the prime factorization of 77889 and 77898. After we will calculate the factors of 77889 and 77898 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 77898

Prime factors of 77898 are 2, 3, 12983. Prime factorization of 77898 in exponential form is:

77898 = 2¹ × 3¹ × 12983¹

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 77898

List of positive integer factors of 77898 that divides 77889 without a remainder.

1, 2, 3, 6, 12983, 25966, 38949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77889 and 77898. The biggest common factor number is the GCF number.
So the greatest common factor 77889 and 77898 is 3.

Also check out the Least Common Multiple of 77889 and 77898