What is the Greatest Common Factor of 11096 and 11102?

Greatest common factor (GCF) of 11096 and 11102 is 2.

GCF(11096,11102) = 2

We will now calculate the prime factors of 11096 and 11102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11096 and 11102.

How to find the GCF of 11096 and 11102?

We will first find the prime factorization of 11096 and 11102. After we will calculate the factors of 11096 and 11102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11102

Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:

11102 = 2¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 11096

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

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

Step-4: Factors of 11102

List of positive integer factors of 11102 that divides 11096 without a remainder.

1, 2, 7, 13, 14, 26, 61, 91, 122, 182, 427, 793, 854, 1586, 5551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11096 and 11102. The biggest common factor number is the GCF number.
So the greatest common factor 11096 and 11102 is 2.

Also check out the Least Common Multiple of 11096 and 11102