What is the Greatest Common Factor of 30466 and 30470?

Greatest common factor (GCF) of 30466 and 30470 is 2.

GCF(30466,30470) = 2

We will now calculate the prime factors of 30466 and 30470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30466 and 30470.

How to find the GCF of 30466 and 30470?

We will first find the prime factorization of 30466 and 30470. After we will calculate the factors of 30466 and 30470 and find the biggest common factor number .

Step-1: Prime Factorization of 30466

Prime factors of 30466 are 2, 15233. Prime factorization of 30466 in exponential form is:

30466 = 2¹ × 15233¹

Step-2: Prime Factorization of 30470

Prime factors of 30470 are 2, 5, 11, 277. Prime factorization of 30470 in exponential form is:

30470 = 2¹ × 5¹ × 11¹ × 277¹

Step-3: Factors of 30466

List of positive integer factors of 30466 that divides 30466 without a remainder.

1, 2, 15233

Step-4: Factors of 30470

List of positive integer factors of 30470 that divides 30466 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 277, 554, 1385, 2770, 3047, 6094, 15235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30466 and 30470. The biggest common factor number is the GCF number.
So the greatest common factor 30466 and 30470 is 2.

Also check out the Least Common Multiple of 30466 and 30470