What is the Greatest Common Factor of 11049 and 11057?

Greatest common factor (GCF) of 11049 and 11057 is 1.

GCF(11049,11057) = 1

We will now calculate the prime factors of 11049 and 11057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11049 and 11057.

How to find the GCF of 11049 and 11057?

We will first find the prime factorization of 11049 and 11057. After we will calculate the factors of 11049 and 11057 and find the biggest common factor number .

Step-1: Prime Factorization of 11049

Prime factors of 11049 are 3, 29, 127. Prime factorization of 11049 in exponential form is:

11049 = 3¹ × 29¹ × 127¹

Step-2: Prime Factorization of 11057

Prime factors of 11057 are 11057. Prime factorization of 11057 in exponential form is:

11057 = 11057¹

Step-3: Factors of 11049

List of positive integer factors of 11049 that divides 11049 without a remainder.

1, 3, 29, 87, 127, 381, 3683

Step-4: Factors of 11057

List of positive integer factors of 11057 that divides 11049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11049 and 11057. The biggest common factor number is the GCF number.
So the greatest common factor 11049 and 11057 is 1.

Also check out the Least Common Multiple of 11049 and 11057