What is the Greatest Common Factor of 30470 and 30488?

Greatest common factor (GCF) of 30470 and 30488 is 2.

GCF(30470,30488) = 2

We will now calculate the prime factors of 30470 and 30488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30470 and 30488.

How to find the GCF of 30470 and 30488?

We will first find the prime factorization of 30470 and 30488. After we will calculate the factors of 30470 and 30488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30488

Prime factors of 30488 are 2, 37, 103. Prime factorization of 30488 in exponential form is:

30488 = 2³ × 37¹ × 103¹

Step-3: Factors of 30470

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

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

Step-4: Factors of 30488

List of positive integer factors of 30488 that divides 30470 without a remainder.

1, 2, 4, 8, 37, 74, 103, 148, 206, 296, 412, 824, 3811, 7622, 15244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30470 and 30488. The biggest common factor number is the GCF number.
So the greatest common factor 30470 and 30488 is 2.

Also check out the Least Common Multiple of 30470 and 30488