What is the Greatest Common Factor of 11004 and 11021?

Greatest common factor (GCF) of 11004 and 11021 is 1.

GCF(11004,11021) = 1

We will now calculate the prime factors of 11004 and 11021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11004 and 11021.

How to find the GCF of 11004 and 11021?

We will first find the prime factorization of 11004 and 11021. After we will calculate the factors of 11004 and 11021 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 11021

Prime factors of 11021 are 103, 107. Prime factorization of 11021 in exponential form is:

11021 = 103¹ × 107¹

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 11021

List of positive integer factors of 11021 that divides 11004 without a remainder.

1, 103, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11004 and 11021. The biggest common factor number is the GCF number.
So the greatest common factor 11004 and 11021 is 1.

Also check out the Least Common Multiple of 11004 and 11021