What is the Greatest Common Factor of 30648 and 30663?

Greatest common factor (GCF) of 30648 and 30663 is 3.

GCF(30648,30663) = 3

We will now calculate the prime factors of 30648 and 30663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30648 and 30663.

How to find the GCF of 30648 and 30663?

We will first find the prime factorization of 30648 and 30663. After we will calculate the factors of 30648 and 30663 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 30663

Prime factors of 30663 are 3, 3407. Prime factorization of 30663 in exponential form is:

30663 = 3² × 3407¹

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 30663

List of positive integer factors of 30663 that divides 30648 without a remainder.

1, 3, 9, 3407, 10221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30648 and 30663. The biggest common factor number is the GCF number.
So the greatest common factor 30648 and 30663 is 3.

Also check out the Least Common Multiple of 30648 and 30663