What is the Greatest Common Factor of 30889 and 30906?

Greatest common factor (GCF) of 30889 and 30906 is 17.

GCF(30889,30906) = 17

We will now calculate the prime factors of 30889 and 30906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30889 and 30906.

How to find the GCF of 30889 and 30906?

We will first find the prime factorization of 30889 and 30906. After we will calculate the factors of 30889 and 30906 and find the biggest common factor number .

Step-1: Prime Factorization of 30889

Prime factors of 30889 are 17, 23, 79. Prime factorization of 30889 in exponential form is:

30889 = 17¹ × 23¹ × 79¹

Step-2: Prime Factorization of 30906

Prime factors of 30906 are 2, 3, 17, 101. Prime factorization of 30906 in exponential form is:

30906 = 2¹ × 3² × 17¹ × 101¹

Step-3: Factors of 30889

List of positive integer factors of 30889 that divides 30889 without a remainder.

1, 17, 23, 79, 391, 1343, 1817

Step-4: Factors of 30906

List of positive integer factors of 30906 that divides 30889 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 101, 102, 153, 202, 303, 306, 606, 909, 1717, 1818, 3434, 5151, 10302, 15453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30889 and 30906. The biggest common factor number is the GCF number.
So the greatest common factor 30889 and 30906 is 17.

Also check out the Least Common Multiple of 30889 and 30906