What is the Greatest Common Factor of 11024 and 11038?

Greatest common factor (GCF) of 11024 and 11038 is 2.

GCF(11024,11038) = 2

We will now calculate the prime factors of 11024 and 11038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11024 and 11038.

How to find the GCF of 11024 and 11038?

We will first find the prime factorization of 11024 and 11038. After we will calculate the factors of 11024 and 11038 and find the biggest common factor number .

Step-1: Prime Factorization of 11024

Prime factors of 11024 are 2, 13, 53. Prime factorization of 11024 in exponential form is:

11024 = 2⁴ × 13¹ × 53¹

Step-2: Prime Factorization of 11038

Prime factors of 11038 are 2, 5519. Prime factorization of 11038 in exponential form is:

11038 = 2¹ × 5519¹

Step-3: Factors of 11024

List of positive integer factors of 11024 that divides 11024 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 53, 104, 106, 208, 212, 424, 689, 848, 1378, 2756, 5512

Step-4: Factors of 11038

List of positive integer factors of 11038 that divides 11024 without a remainder.

1, 2, 5519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11024 and 11038. The biggest common factor number is the GCF number.
So the greatest common factor 11024 and 11038 is 2.

Also check out the Least Common Multiple of 11024 and 11038