What is the Greatest Common Factor of 28048 and 28058?

Greatest common factor (GCF) of 28048 and 28058 is 2.

GCF(28048,28058) = 2

We will now calculate the prime factors of 28048 and 28058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28048 and 28058.

How to find the GCF of 28048 and 28058?

We will first find the prime factorization of 28048 and 28058. After we will calculate the factors of 28048 and 28058 and find the biggest common factor number .

Step-1: Prime Factorization of 28048

Prime factors of 28048 are 2, 1753. Prime factorization of 28048 in exponential form is:

28048 = 2⁴ × 1753¹

Step-2: Prime Factorization of 28058

Prime factors of 28058 are 2, 14029. Prime factorization of 28058 in exponential form is:

28058 = 2¹ × 14029¹

Step-3: Factors of 28048

List of positive integer factors of 28048 that divides 28048 without a remainder.

1, 2, 4, 8, 16, 1753, 3506, 7012, 14024

Step-4: Factors of 28058

List of positive integer factors of 28058 that divides 28048 without a remainder.

1, 2, 14029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28048 and 28058. The biggest common factor number is the GCF number.
So the greatest common factor 28048 and 28058 is 2.

Also check out the Least Common Multiple of 28048 and 28058