What is the Greatest Common Factor of 11049 and 11065?

Greatest common factor (GCF) of 11049 and 11065 is 1.

GCF(11049,11065) = 1

We will now calculate the prime factors of 11049 and 11065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11049 and 11065.

How to find the GCF of 11049 and 11065?

We will first find the prime factorization of 11049 and 11065. After we will calculate the factors of 11049 and 11065 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 11065

Prime factors of 11065 are 5, 2213. Prime factorization of 11065 in exponential form is:

11065 = 5¹ × 2213¹

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 11065

List of positive integer factors of 11065 that divides 11049 without a remainder.

1, 5, 2213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11049 and 11065. The biggest common factor number is the GCF number.
So the greatest common factor 11049 and 11065 is 1.

Also check out the Least Common Multiple of 11049 and 11065