What is the Greatest Common Factor of 10997 and 11004?

Greatest common factor (GCF) of 10997 and 11004 is 7.

GCF(10997,11004) = 7

We will now calculate the prime factors of 10997 and 11004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10997 and 11004.

How to find the GCF of 10997 and 11004?

We will first find the prime factorization of 10997 and 11004. After we will calculate the factors of 10997 and 11004 and find the biggest common factor number .

Step-1: Prime Factorization of 10997

Prime factors of 10997 are 7, 1571. Prime factorization of 10997 in exponential form is:

10997 = 7¹ × 1571¹

Step-2: 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-3: Factors of 10997

List of positive integer factors of 10997 that divides 10997 without a remainder.

1, 7, 1571

Step-4: Factors of 11004

List of positive integer factors of 11004 that divides 10997 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10997 and 11004. The biggest common factor number is the GCF number.
So the greatest common factor 10997 and 11004 is 7.

Also check out the Least Common Multiple of 10997 and 11004