What is the Greatest Common Factor of 11077 and 11096?

Greatest common factor (GCF) of 11077 and 11096 is 19.

GCF(11077,11096) = 19

We will now calculate the prime factors of 11077 and 11096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11077 and 11096.

How to find the GCF of 11077 and 11096?

We will first find the prime factorization of 11077 and 11096. After we will calculate the factors of 11077 and 11096 and find the biggest common factor number .

Step-1: Prime Factorization of 11077

Prime factors of 11077 are 11, 19, 53. Prime factorization of 11077 in exponential form is:

11077 = 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 11096

Prime factors of 11096 are 2, 19, 73. Prime factorization of 11096 in exponential form is:

11096 = 2³ × 19¹ × 73¹

Step-3: Factors of 11077

List of positive integer factors of 11077 that divides 11077 without a remainder.

1, 11, 19, 53, 209, 583, 1007

Step-4: Factors of 11096

List of positive integer factors of 11096 that divides 11077 without a remainder.

1, 2, 4, 8, 19, 38, 73, 76, 146, 152, 292, 584, 1387, 2774, 5548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11077 and 11096. The biggest common factor number is the GCF number.
So the greatest common factor 11077 and 11096 is 19.

Also check out the Least Common Multiple of 11077 and 11096