What is the Greatest Common Factor of 30648 and 30656?

Greatest common factor (GCF) of 30648 and 30656 is 8.

GCF(30648,30656) = 8

We will now calculate the prime factors of 30648 and 30656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30648 and 30656.

How to find the GCF of 30648 and 30656?

We will first find the prime factorization of 30648 and 30656. After we will calculate the factors of 30648 and 30656 and find the biggest common factor number .

Step-1: Prime Factorization of 30648

Prime factors of 30648 are 2, 3, 1277. Prime factorization of 30648 in exponential form is:

30648 = 2³ × 3¹ × 1277¹

Step-2: Prime Factorization of 30656

Prime factors of 30656 are 2, 479. Prime factorization of 30656 in exponential form is:

30656 = 2⁶ × 479¹

Step-3: Factors of 30648

List of positive integer factors of 30648 that divides 30648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1277, 2554, 3831, 5108, 7662, 10216, 15324

Step-4: Factors of 30656

List of positive integer factors of 30656 that divides 30648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 479, 958, 1916, 3832, 7664, 15328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30648 and 30656. The biggest common factor number is the GCF number.
So the greatest common factor 30648 and 30656 is 8.

Also check out the Least Common Multiple of 30648 and 30656