What is the Greatest Common Factor of 11037 and 11049?

Greatest common factor (GCF) of 11037 and 11049 is 3.

GCF(11037,11049) = 3

We will now calculate the prime factors of 11037 and 11049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11037 and 11049.

How to find the GCF of 11037 and 11049?

We will first find the prime factorization of 11037 and 11049. After we will calculate the factors of 11037 and 11049 and find the biggest common factor number .

Step-1: Prime Factorization of 11037

Prime factors of 11037 are 3, 13, 283. Prime factorization of 11037 in exponential form is:

11037 = 3¹ × 13¹ × 283¹

Step-2: 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-3: Factors of 11037

List of positive integer factors of 11037 that divides 11037 without a remainder.

1, 3, 13, 39, 283, 849, 3679

Step-4: Factors of 11049

List of positive integer factors of 11049 that divides 11037 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11037 and 11049. The biggest common factor number is the GCF number.
So the greatest common factor 11037 and 11049 is 3.

Also check out the Least Common Multiple of 11037 and 11049