What is the Greatest Common Factor of 30488 and 30496?

Greatest common factor (GCF) of 30488 and 30496 is 8.

GCF(30488,30496) = 8

We will now calculate the prime factors of 30488 and 30496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30488 and 30496.

How to find the GCF of 30488 and 30496?

We will first find the prime factorization of 30488 and 30496. After we will calculate the factors of 30488 and 30496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30496

Prime factors of 30496 are 2, 953. Prime factorization of 30496 in exponential form is:

30496 = 2⁵ × 953¹

Step-3: Factors of 30488

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

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

Step-4: Factors of 30496

List of positive integer factors of 30496 that divides 30488 without a remainder.

1, 2, 4, 8, 16, 32, 953, 1906, 3812, 7624, 15248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30488 and 30496. The biggest common factor number is the GCF number.
So the greatest common factor 30488 and 30496 is 8.

Also check out the Least Common Multiple of 30488 and 30496