What is the Greatest Common Factor of 28120 and 28128?

Greatest common factor (GCF) of 28120 and 28128 is 8.

GCF(28120,28128) = 8

We will now calculate the prime factors of 28120 and 28128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28120 and 28128.

How to find the GCF of 28120 and 28128?

We will first find the prime factorization of 28120 and 28128. After we will calculate the factors of 28120 and 28128 and find the biggest common factor number .

Step-1: Prime Factorization of 28120

Prime factors of 28120 are 2, 5, 19, 37. Prime factorization of 28120 in exponential form is:

28120 = 2³ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 28128

Prime factors of 28128 are 2, 3, 293. Prime factorization of 28128 in exponential form is:

28128 = 2⁵ × 3¹ × 293¹

Step-3: Factors of 28120

List of positive integer factors of 28120 that divides 28120 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 37, 38, 40, 74, 76, 95, 148, 152, 185, 190, 296, 370, 380, 703, 740, 760, 1406, 1480, 2812, 3515, 5624, 7030, 14060

Step-4: Factors of 28128

List of positive integer factors of 28128 that divides 28120 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 293, 586, 879, 1172, 1758, 2344, 3516, 4688, 7032, 9376, 14064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28120 and 28128. The biggest common factor number is the GCF number.
So the greatest common factor 28120 and 28128 is 8.

Also check out the Least Common Multiple of 28120 and 28128