What is the Greatest Common Factor of 30674 and 30689?

Greatest common factor (GCF) of 30674 and 30689 is 1.

GCF(30674,30689) = 1

We will now calculate the prime factors of 30674 and 30689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30674 and 30689.

How to find the GCF of 30674 and 30689?

We will first find the prime factorization of 30674 and 30689. After we will calculate the factors of 30674 and 30689 and find the biggest common factor number .

Step-1: Prime Factorization of 30674

Prime factors of 30674 are 2, 7, 313. Prime factorization of 30674 in exponential form is:

30674 = 2¹ × 7² × 313¹

Step-2: Prime Factorization of 30689

Prime factors of 30689 are 30689. Prime factorization of 30689 in exponential form is:

30689 = 30689¹

Step-3: Factors of 30674

List of positive integer factors of 30674 that divides 30674 without a remainder.

1, 2, 7, 14, 49, 98, 313, 626, 2191, 4382, 15337

Step-4: Factors of 30689

List of positive integer factors of 30689 that divides 30674 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30674 and 30689. The biggest common factor number is the GCF number.
So the greatest common factor 30674 and 30689 is 1.

Also check out the Least Common Multiple of 30674 and 30689