What is the Greatest Common Factor of 28128 and 28138?

Greatest common factor (GCF) of 28128 and 28138 is 2.

GCF(28128,28138) = 2

We will now calculate the prime factors of 28128 and 28138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28128 and 28138.

How to find the GCF of 28128 and 28138?

We will first find the prime factorization of 28128 and 28138. After we will calculate the factors of 28128 and 28138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28138

Prime factors of 28138 are 2, 11, 1279. Prime factorization of 28138 in exponential form is:

28138 = 2¹ × 11¹ × 1279¹

Step-3: Factors of 28128

List of positive integer factors of 28128 that divides 28128 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

Step-4: Factors of 28138

List of positive integer factors of 28138 that divides 28128 without a remainder.

1, 2, 11, 22, 1279, 2558, 14069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28128 and 28138. The biggest common factor number is the GCF number.
So the greatest common factor 28128 and 28138 is 2.

Also check out the Least Common Multiple of 28128 and 28138