What is the Greatest Common Factor of 30460 and 30470?

Greatest common factor (GCF) of 30460 and 30470 is 10.

GCF(30460,30470) = 10

We will now calculate the prime factors of 30460 and 30470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30460 and 30470.

How to find the GCF of 30460 and 30470?

We will first find the prime factorization of 30460 and 30470. After we will calculate the factors of 30460 and 30470 and find the biggest common factor number .

Step-1: Prime Factorization of 30460

Prime factors of 30460 are 2, 5, 1523. Prime factorization of 30460 in exponential form is:

30460 = 2² × 5¹ × 1523¹

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 30460

List of positive integer factors of 30460 that divides 30460 without a remainder.

1, 2, 4, 5, 10, 20, 1523, 3046, 6092, 7615, 15230

Step-4: Factors of 30470

List of positive integer factors of 30470 that divides 30460 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 30460 and 30470. The biggest common factor number is the GCF number.
So the greatest common factor 30460 and 30470 is 10.

Also check out the Least Common Multiple of 30460 and 30470