What is the Greatest Common Factor of 77889 and 77903?

Greatest common factor (GCF) of 77889 and 77903 is 7.

GCF(77889,77903) = 7

We will now calculate the prime factors of 77889 and 77903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77889 and 77903.

How to find the GCF of 77889 and 77903?

We will first find the prime factorization of 77889 and 77903. After we will calculate the factors of 77889 and 77903 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 77903

Prime factors of 77903 are 7, 31, 359. Prime factorization of 77903 in exponential form is:

77903 = 7¹ × 31¹ × 359¹

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 77903

List of positive integer factors of 77903 that divides 77889 without a remainder.

1, 7, 31, 217, 359, 2513, 11129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77889 and 77903. The biggest common factor number is the GCF number.
So the greatest common factor 77889 and 77903 is 7.

Also check out the Least Common Multiple of 77889 and 77903