What is the Greatest Common Factor of 30889 and 30907?

Greatest common factor (GCF) of 30889 and 30907 is 1.

GCF(30889,30907) = 1

We will now calculate the prime factors of 30889 and 30907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30889 and 30907.

How to find the GCF of 30889 and 30907?

We will first find the prime factorization of 30889 and 30907. After we will calculate the factors of 30889 and 30907 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 30907

Prime factors of 30907 are 31, 997. Prime factorization of 30907 in exponential form is:

30907 = 31¹ × 997¹

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 30907

List of positive integer factors of 30907 that divides 30889 without a remainder.

1, 31, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30889 and 30907. The biggest common factor number is the GCF number.
So the greatest common factor 30889 and 30907 is 1.

Also check out the Least Common Multiple of 30889 and 30907