What is the Greatest Common Factor of 11058 and 11077?

Greatest common factor (GCF) of 11058 and 11077 is 19.

GCF(11058,11077) = 19

We will now calculate the prime factors of 11058 and 11077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11058 and 11077.

How to find the GCF of 11058 and 11077?

We will first find the prime factorization of 11058 and 11077. After we will calculate the factors of 11058 and 11077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11077

Prime factors of 11077 are 11, 19, 53. Prime factorization of 11077 in exponential form is:

11077 = 11¹ × 19¹ × 53¹

Step-3: Factors of 11058

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

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

Step-4: Factors of 11077

List of positive integer factors of 11077 that divides 11058 without a remainder.

1, 11, 19, 53, 209, 583, 1007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11058 and 11077. The biggest common factor number is the GCF number.
So the greatest common factor 11058 and 11077 is 19.

Also check out the Least Common Multiple of 11058 and 11077