What is the Greatest Common Factor of 11072 and 11078?

Greatest common factor (GCF) of 11072 and 11078 is 2.

GCF(11072,11078) = 2

We will now calculate the prime factors of 11072 and 11078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11072 and 11078.

How to find the GCF of 11072 and 11078?

We will first find the prime factorization of 11072 and 11078. After we will calculate the factors of 11072 and 11078 and find the biggest common factor number .

Step-1: Prime Factorization of 11072

Prime factors of 11072 are 2, 173. Prime factorization of 11072 in exponential form is:

11072 = 2⁶ × 173¹

Step-2: Prime Factorization of 11078

Prime factors of 11078 are 2, 29, 191. Prime factorization of 11078 in exponential form is:

11078 = 2¹ × 29¹ × 191¹

Step-3: Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536

Step-4: Factors of 11078

List of positive integer factors of 11078 that divides 11072 without a remainder.

1, 2, 29, 58, 191, 382, 5539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11072 and 11078. The biggest common factor number is the GCF number.
So the greatest common factor 11072 and 11078 is 2.

Also check out the Least Common Multiple of 11072 and 11078