What is the Greatest Common Factor of 11029 and 11036?

Greatest common factor (GCF) of 11029 and 11036 is 1.

GCF(11029,11036) = 1

We will now calculate the prime factors of 11029 and 11036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11029 and 11036.

How to find the GCF of 11029 and 11036?

We will first find the prime factorization of 11029 and 11036. After we will calculate the factors of 11029 and 11036 and find the biggest common factor number .

Step-1: Prime Factorization of 11029

Prime factors of 11029 are 41, 269. Prime factorization of 11029 in exponential form is:

11029 = 41¹ × 269¹

Step-2: Prime Factorization of 11036

Prime factors of 11036 are 2, 31, 89. Prime factorization of 11036 in exponential form is:

11036 = 2² × 31¹ × 89¹

Step-3: Factors of 11029

List of positive integer factors of 11029 that divides 11029 without a remainder.

1, 41, 269

Step-4: Factors of 11036

List of positive integer factors of 11036 that divides 11029 without a remainder.

1, 2, 4, 31, 62, 89, 124, 178, 356, 2759, 5518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11029 and 11036. The biggest common factor number is the GCF number.
So the greatest common factor 11029 and 11036 is 1.

Also check out the Least Common Multiple of 11029 and 11036