What is the Greatest Common Factor of 11034 and 11051?

Greatest common factor (GCF) of 11034 and 11051 is 1.

GCF(11034,11051) = 1

We will now calculate the prime factors of 11034 and 11051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11034 and 11051.

How to find the GCF of 11034 and 11051?

We will first find the prime factorization of 11034 and 11051. After we will calculate the factors of 11034 and 11051 and find the biggest common factor number .

Step-1: Prime Factorization of 11034

Prime factors of 11034 are 2, 3, 613. Prime factorization of 11034 in exponential form is:

11034 = 2¹ × 3² × 613¹

Step-2: Prime Factorization of 11051

Prime factors of 11051 are 43, 257. Prime factorization of 11051 in exponential form is:

11051 = 43¹ × 257¹

Step-3: Factors of 11034

List of positive integer factors of 11034 that divides 11034 without a remainder.

1, 2, 3, 6, 9, 18, 613, 1226, 1839, 3678, 5517

Step-4: Factors of 11051

List of positive integer factors of 11051 that divides 11034 without a remainder.

1, 43, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11034 and 11051. The biggest common factor number is the GCF number.
So the greatest common factor 11034 and 11051 is 1.

Also check out the Least Common Multiple of 11034 and 11051