What is the Greatest Common Factor of 11004 and 11008?

Greatest common factor (GCF) of 11004 and 11008 is 4.

GCF(11004,11008) = 4

We will now calculate the prime factors of 11004 and 11008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11004 and 11008.

How to find the GCF of 11004 and 11008?

We will first find the prime factorization of 11004 and 11008. After we will calculate the factors of 11004 and 11008 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 11008

Prime factors of 11008 are 2, 43. Prime factorization of 11008 in exponential form is:

11008 = 2⁸ × 43¹

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 11008

List of positive integer factors of 11008 that divides 11004 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 688, 1376, 2752, 5504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11004 and 11008. The biggest common factor number is the GCF number.
So the greatest common factor 11004 and 11008 is 4.

Also check out the Least Common Multiple of 11004 and 11008