What is the Greatest Common Factor of 11004 and 11024?

Greatest common factor (GCF) of 11004 and 11024 is 4.

GCF(11004,11024) = 4

We will now calculate the prime factors of 11004 and 11024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11004 and 11024.

How to find the GCF of 11004 and 11024?

We will first find the prime factorization of 11004 and 11024. After we will calculate the factors of 11004 and 11024 and find the biggest common factor number .

Step-1: Prime Factorization of 11004

Prime factors of 11004 are 2, 3, 7, 131. Prime factorization of 11004 in exponential form is:

11004 = 2² × 3¹ × 7¹ × 131¹

Step-2: 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-3: Factors of 11004

List of positive integer factors of 11004 that divides 11004 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 131, 262, 393, 524, 786, 917, 1572, 1834, 2751, 3668, 5502

Step-4: Factors of 11024

List of positive integer factors of 11024 that divides 11004 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11004 and 11024. The biggest common factor number is the GCF number.
So the greatest common factor 11004 and 11024 is 4.

Also check out the Least Common Multiple of 11004 and 11024