What is the Greatest Common Factor of 10956 and 10971?

Greatest common factor (GCF) of 10956 and 10971 is 3.

GCF(10956,10971) = 3

We will now calculate the prime factors of 10956 and 10971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10956 and 10971.

How to find the GCF of 10956 and 10971?

We will first find the prime factorization of 10956 and 10971. After we will calculate the factors of 10956 and 10971 and find the biggest common factor number .

Step-1: Prime Factorization of 10956

Prime factors of 10956 are 2, 3, 11, 83. Prime factorization of 10956 in exponential form is:

10956 = 2² × 3¹ × 11¹ × 83¹

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 10956

List of positive integer factors of 10956 that divides 10956 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 83, 132, 166, 249, 332, 498, 913, 996, 1826, 2739, 3652, 5478

Step-4: Factors of 10971

List of positive integer factors of 10971 that divides 10956 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 10956 and 10971. The biggest common factor number is the GCF number.
So the greatest common factor 10956 and 10971 is 3.

Also check out the Least Common Multiple of 10956 and 10971