What is the Greatest Common Factor of 11048 and 11058?

Greatest common factor (GCF) of 11048 and 11058 is 2.

GCF(11048,11058) = 2

We will now calculate the prime factors of 11048 and 11058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11048 and 11058.

How to find the GCF of 11048 and 11058?

We will first find the prime factorization of 11048 and 11058. After we will calculate the factors of 11048 and 11058 and find the biggest common factor number .

Step-1: Prime Factorization of 11048

Prime factors of 11048 are 2, 1381. Prime factorization of 11048 in exponential form is:

11048 = 2³ × 1381¹

Step-2: Prime Factorization of 11058

Prime factors of 11058 are 2, 3, 19, 97. Prime factorization of 11058 in exponential form is:

11058 = 2¹ × 3¹ × 19¹ × 97¹

Step-3: Factors of 11048

List of positive integer factors of 11048 that divides 11048 without a remainder.

1, 2, 4, 8, 1381, 2762, 5524

Step-4: Factors of 11058

List of positive integer factors of 11058 that divides 11048 without a remainder.

1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11048 and 11058. The biggest common factor number is the GCF number.
So the greatest common factor 11048 and 11058 is 2.

Also check out the Least Common Multiple of 11048 and 11058