What is the Greatest Common Factor of 11074 and 11094?

Greatest common factor (GCF) of 11074 and 11094 is 2.

GCF(11074,11094) = 2

We will now calculate the prime factors of 11074 and 11094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11074 and 11094.

How to find the GCF of 11074 and 11094?

We will first find the prime factorization of 11074 and 11094. After we will calculate the factors of 11074 and 11094 and find the biggest common factor number .

Step-1: Prime Factorization of 11074

Prime factors of 11074 are 2, 7, 113. Prime factorization of 11074 in exponential form is:

11074 = 2¹ × 7² × 113¹

Step-2: Prime Factorization of 11094

Prime factors of 11094 are 2, 3, 43. Prime factorization of 11094 in exponential form is:

11094 = 2¹ × 3¹ × 43²

Step-3: Factors of 11074

List of positive integer factors of 11074 that divides 11074 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537

Step-4: Factors of 11094

List of positive integer factors of 11094 that divides 11074 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 1849, 3698, 5547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11074 and 11094. The biggest common factor number is the GCF number.
So the greatest common factor 11074 and 11094 is 2.

Also check out the Least Common Multiple of 11074 and 11094