What is the Greatest Common Factor of 10983 and 10997?

Greatest common factor (GCF) of 10983 and 10997 is 7.

GCF(10983,10997) = 7

We will now calculate the prime factors of 10983 and 10997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10983 and 10997.

How to find the GCF of 10983 and 10997?

We will first find the prime factorization of 10983 and 10997. After we will calculate the factors of 10983 and 10997 and find the biggest common factor number .

Step-1: Prime Factorization of 10983

Prime factors of 10983 are 3, 7, 523. Prime factorization of 10983 in exponential form is:

10983 = 3¹ × 7¹ × 523¹

Step-2: Prime Factorization of 10997

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

10997 = 7¹ × 1571¹

Step-3: Factors of 10983

List of positive integer factors of 10983 that divides 10983 without a remainder.

1, 3, 7, 21, 523, 1569, 3661

Step-4: Factors of 10997

List of positive integer factors of 10997 that divides 10983 without a remainder.

1, 7, 1571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10983 and 10997. The biggest common factor number is the GCF number.
So the greatest common factor 10983 and 10997 is 7.

Also check out the Least Common Multiple of 10983 and 10997