What is the Greatest Common Factor of 48672 and 48681?

Greatest common factor (GCF) of 48672 and 48681 is 9.

GCF(48672,48681) = 9

We will now calculate the prime factors of 48672 and 48681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48672 and 48681.

How to find the GCF of 48672 and 48681?

We will first find the prime factorization of 48672 and 48681. After we will calculate the factors of 48672 and 48681 and find the biggest common factor number .

Step-1: Prime Factorization of 48672

Prime factors of 48672 are 2, 3, 13. Prime factorization of 48672 in exponential form is:

48672 = 2⁵ × 3² × 13²

Step-2: Prime Factorization of 48681

Prime factors of 48681 are 3, 601. Prime factorization of 48681 in exponential form is:

48681 = 3⁴ × 601¹

Step-3: Factors of 48672

List of positive integer factors of 48672 that divides 48672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 169, 208, 234, 288, 312, 338, 416, 468, 507, 624, 676, 936, 1014, 1248, 1352, 1521, 1872, 2028, 2704, 3042, 3744, 4056, 5408, 6084, 8112, 12168, 16224, 24336

Step-4: Factors of 48681

List of positive integer factors of 48681 that divides 48672 without a remainder.

1, 3, 9, 27, 81, 601, 1803, 5409, 16227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48672 and 48681. The biggest common factor number is the GCF number.
So the greatest common factor 48672 and 48681 is 9.

Also check out the Least Common Multiple of 48672 and 48681