What is the Greatest Common Factor of 28119 and 28128?

Greatest common factor (GCF) of 28119 and 28128 is 3.

GCF(28119,28128) = 3

We will now calculate the prime factors of 28119 and 28128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28119 and 28128.

How to find the GCF of 28119 and 28128?

We will first find the prime factorization of 28119 and 28128. After we will calculate the factors of 28119 and 28128 and find the biggest common factor number .

Step-1: Prime Factorization of 28119

Prime factors of 28119 are 3, 7, 13, 103. Prime factorization of 28119 in exponential form is:

28119 = 3¹ × 7¹ × 13¹ × 103¹

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 28119

List of positive integer factors of 28119 that divides 28119 without a remainder.

1, 3, 7, 13, 21, 39, 91, 103, 273, 309, 721, 1339, 2163, 4017, 9373

Step-4: Factors of 28128

List of positive integer factors of 28128 that divides 28119 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 28119 and 28128. The biggest common factor number is the GCF number.
So the greatest common factor 28119 and 28128 is 3.

Also check out the Least Common Multiple of 28119 and 28128