What is the Greatest Common Factor of 11134 and 11153?

Greatest common factor (GCF) of 11134 and 11153 is 19.

GCF(11134,11153) = 19

We will now calculate the prime factors of 11134 and 11153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11134 and 11153.

How to find the GCF of 11134 and 11153?

We will first find the prime factorization of 11134 and 11153. After we will calculate the factors of 11134 and 11153 and find the biggest common factor number .

Step-1: Prime Factorization of 11134

Prime factors of 11134 are 2, 19, 293. Prime factorization of 11134 in exponential form is:

11134 = 2¹ × 19¹ × 293¹

Step-2: Prime Factorization of 11153

Prime factors of 11153 are 19, 587. Prime factorization of 11153 in exponential form is:

11153 = 19¹ × 587¹

Step-3: Factors of 11134

List of positive integer factors of 11134 that divides 11134 without a remainder.

1, 2, 19, 38, 293, 586, 5567

Step-4: Factors of 11153

List of positive integer factors of 11153 that divides 11134 without a remainder.

1, 19, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11134 and 11153. The biggest common factor number is the GCF number.
So the greatest common factor 11134 and 11153 is 19.

Also check out the Least Common Multiple of 11134 and 11153