What is the Greatest Common Factor of 77889 and 77901?

Greatest common factor (GCF) of 77889 and 77901 is 3.

GCF(77889,77901) = 3

We will now calculate the prime factors of 77889 and 77901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77889 and 77901.

How to find the GCF of 77889 and 77901?

We will first find the prime factorization of 77889 and 77901. After we will calculate the factors of 77889 and 77901 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 77901

Prime factors of 77901 are 3, 23, 1129. Prime factorization of 77901 in exponential form is:

77901 = 3¹ × 23¹ × 1129¹

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 77901

List of positive integer factors of 77901 that divides 77889 without a remainder.

1, 3, 23, 69, 1129, 3387, 25967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77889 and 77901. The biggest common factor number is the GCF number.
So the greatest common factor 77889 and 77901 is 3.

Also check out the Least Common Multiple of 77889 and 77901