What is the Greatest Common Factor of 11036 and 11056?

Greatest common factor (GCF) of 11036 and 11056 is 4.

GCF(11036,11056) = 4

We will now calculate the prime factors of 11036 and 11056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11036 and 11056.

How to find the GCF of 11036 and 11056?

We will first find the prime factorization of 11036 and 11056. After we will calculate the factors of 11036 and 11056 and find the biggest common factor number .

Step-1: Prime Factorization of 11036

Prime factors of 11036 are 2, 31, 89. Prime factorization of 11036 in exponential form is:

11036 = 2² × 31¹ × 89¹

Step-2: Prime Factorization of 11056

Prime factors of 11056 are 2, 691. Prime factorization of 11056 in exponential form is:

11056 = 2⁴ × 691¹

Step-3: Factors of 11036

List of positive integer factors of 11036 that divides 11036 without a remainder.

1, 2, 4, 31, 62, 89, 124, 178, 356, 2759, 5518

Step-4: Factors of 11056

List of positive integer factors of 11056 that divides 11036 without a remainder.

1, 2, 4, 8, 16, 691, 1382, 2764, 5528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11036 and 11056. The biggest common factor number is the GCF number.
So the greatest common factor 11036 and 11056 is 4.

Also check out the Least Common Multiple of 11036 and 11056