What is the Greatest Common Factor of 48576 and 48588?

Greatest common factor (GCF) of 48576 and 48588 is 12.

GCF(48576,48588) = 12

We will now calculate the prime factors of 48576 and 48588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48576 and 48588.

How to find the GCF of 48576 and 48588?

We will first find the prime factorization of 48576 and 48588. After we will calculate the factors of 48576 and 48588 and find the biggest common factor number .

Step-1: Prime Factorization of 48576

Prime factors of 48576 are 2, 3, 11, 23. Prime factorization of 48576 in exponential form is:

48576 = 2⁶ × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 48588

Prime factors of 48588 are 2, 3, 4049. Prime factorization of 48588 in exponential form is:

48588 = 2² × 3¹ × 4049¹

Step-3: Factors of 48576

List of positive integer factors of 48576 that divides 48576 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 32, 33, 44, 46, 48, 64, 66, 69, 88, 92, 96, 132, 138, 176, 184, 192, 253, 264, 276, 352, 368, 506, 528, 552, 704, 736, 759, 1012, 1056, 1104, 1472, 1518, 2024, 2112, 2208, 3036, 4048, 4416, 6072, 8096, 12144, 16192, 24288

Step-4: Factors of 48588

List of positive integer factors of 48588 that divides 48576 without a remainder.

1, 2, 3, 4, 6, 12, 4049, 8098, 12147, 16196, 24294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48576 and 48588. The biggest common factor number is the GCF number.
So the greatest common factor 48576 and 48588 is 12.

Also check out the Least Common Multiple of 48576 and 48588