What is the Greatest Common Factor of 30667 and 30674?

Greatest common factor (GCF) of 30667 and 30674 is 7.

GCF(30667,30674) = 7

We will now calculate the prime factors of 30667 and 30674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30667 and 30674.

How to find the GCF of 30667 and 30674?

We will first find the prime factorization of 30667 and 30674. After we will calculate the factors of 30667 and 30674 and find the biggest common factor number .

Step-1: Prime Factorization of 30667

Prime factors of 30667 are 7, 13, 337. Prime factorization of 30667 in exponential form is:

30667 = 7¹ × 13¹ × 337¹

Step-2: 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-3: Factors of 30667

List of positive integer factors of 30667 that divides 30667 without a remainder.

1, 7, 13, 91, 337, 2359, 4381

Step-4: Factors of 30674

List of positive integer factors of 30674 that divides 30667 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30667 and 30674. The biggest common factor number is the GCF number.
So the greatest common factor 30667 and 30674 is 7.

Also check out the Least Common Multiple of 30667 and 30674