What is the Greatest Common Factor of 30667 and 30680?

Greatest common factor (GCF) of 30667 and 30680 is 13.

GCF(30667,30680) = 13

We will now calculate the prime factors of 30667 and 30680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30667 and 30680.

How to find the GCF of 30667 and 30680?

We will first find the prime factorization of 30667 and 30680. After we will calculate the factors of 30667 and 30680 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 30680

Prime factors of 30680 are 2, 5, 13, 59. Prime factorization of 30680 in exponential form is:

30680 = 2³ × 5¹ × 13¹ × 59¹

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 30680

List of positive integer factors of 30680 that divides 30667 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 59, 65, 104, 118, 130, 236, 260, 295, 472, 520, 590, 767, 1180, 1534, 2360, 3068, 3835, 6136, 7670, 15340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30667 and 30680. The biggest common factor number is the GCF number.
So the greatest common factor 30667 and 30680 is 13.

Also check out the Least Common Multiple of 30667 and 30680