What is the Greatest Common Factor of 10967 and 10971?

Greatest common factor (GCF) of 10967 and 10971 is 1.

GCF(10967,10971) = 1

We will now calculate the prime factors of 10967 and 10971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10967 and 10971.

How to find the GCF of 10967 and 10971?

We will first find the prime factorization of 10967 and 10971. After we will calculate the factors of 10967 and 10971 and find the biggest common factor number .

Step-1: Prime Factorization of 10967

Prime factors of 10967 are 11, 997. Prime factorization of 10967 in exponential form is:

10967 = 11¹ × 997¹

Step-2: Prime Factorization of 10971

Prime factors of 10971 are 3, 23, 53. Prime factorization of 10971 in exponential form is:

10971 = 3² × 23¹ × 53¹

Step-3: Factors of 10967

List of positive integer factors of 10967 that divides 10967 without a remainder.

1, 11, 997

Step-4: Factors of 10971

List of positive integer factors of 10971 that divides 10967 without a remainder.

1, 3, 9, 23, 53, 69, 159, 207, 477, 1219, 3657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10967 and 10971. The biggest common factor number is the GCF number.
So the greatest common factor 10967 and 10971 is 1.

Also check out the Least Common Multiple of 10967 and 10971