What is the Greatest Common Factor of 11038 and 11052?

Greatest common factor (GCF) of 11038 and 11052 is 2.

GCF(11038,11052) = 2

We will now calculate the prime factors of 11038 and 11052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11038 and 11052.

How to find the GCF of 11038 and 11052?

We will first find the prime factorization of 11038 and 11052. After we will calculate the factors of 11038 and 11052 and find the biggest common factor number .

Step-1: Prime Factorization of 11038

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

11038 = 2¹ × 5519¹

Step-2: Prime Factorization of 11052

Prime factors of 11052 are 2, 3, 307. Prime factorization of 11052 in exponential form is:

11052 = 2² × 3² × 307¹

Step-3: Factors of 11038

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

1, 2, 5519

Step-4: Factors of 11052

List of positive integer factors of 11052 that divides 11038 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11038 and 11052. The biggest common factor number is the GCF number.
So the greatest common factor 11038 and 11052 is 2.

Also check out the Least Common Multiple of 11038 and 11052