What is the Greatest Common Factor of 48672 and 48689?

Greatest common factor (GCF) of 48672 and 48689 is 1.

GCF(48672,48689) = 1

We will now calculate the prime factors of 48672 and 48689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48672 and 48689.

How to find the GCF of 48672 and 48689?

We will first find the prime factorization of 48672 and 48689. After we will calculate the factors of 48672 and 48689 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 48689

Prime factors of 48689 are 181, 269. Prime factorization of 48689 in exponential form is:

48689 = 181¹ × 269¹

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 48689

List of positive integer factors of 48689 that divides 48672 without a remainder.

1, 181, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48672 and 48689. The biggest common factor number is the GCF number.
So the greatest common factor 48672 and 48689 is 1.

Also check out the Least Common Multiple of 48672 and 48689