What is the Greatest Common Factor of 48576 and 48592?

Greatest common factor (GCF) of 48576 and 48592 is 16.

GCF(48576,48592) = 16

We will now calculate the prime factors of 48576 and 48592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48576 and 48592.

How to find the GCF of 48576 and 48592?

We will first find the prime factorization of 48576 and 48592. After we will calculate the factors of 48576 and 48592 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 48592

Prime factors of 48592 are 2, 3037. Prime factorization of 48592 in exponential form is:

48592 = 2⁴ × 3037¹

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 48592

List of positive integer factors of 48592 that divides 48576 without a remainder.

1, 2, 4, 8, 16, 3037, 6074, 12148, 24296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48576 and 48592. The biggest common factor number is the GCF number.
So the greatest common factor 48576 and 48592 is 16.

Also check out the Least Common Multiple of 48576 and 48592