What is the Greatest Common Factor of 11039 and 11058?

Greatest common factor (GCF) of 11039 and 11058 is 19.

GCF(11039,11058) = 19

We will now calculate the prime factors of 11039 and 11058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11039 and 11058.

How to find the GCF of 11039 and 11058?

We will first find the prime factorization of 11039 and 11058. After we will calculate the factors of 11039 and 11058 and find the biggest common factor number .

Step-1: Prime Factorization of 11039

Prime factors of 11039 are 7, 19, 83. Prime factorization of 11039 in exponential form is:

11039 = 7¹ × 19¹ × 83¹

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 11039

List of positive integer factors of 11039 that divides 11039 without a remainder.

1, 7, 19, 83, 133, 581, 1577

Step-4: Factors of 11058

List of positive integer factors of 11058 that divides 11039 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 11039 and 11058. The biggest common factor number is the GCF number.
So the greatest common factor 11039 and 11058 is 19.

Also check out the Least Common Multiple of 11039 and 11058