What is the Greatest Common Factor of 10929 and 10947?

Greatest common factor (GCF) of 10929 and 10947 is 3.

GCF(10929,10947) = 3

We will now calculate the prime factors of 10929 and 10947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10929 and 10947.

How to find the GCF of 10929 and 10947?

We will first find the prime factorization of 10929 and 10947. After we will calculate the factors of 10929 and 10947 and find the biggest common factor number .

Step-1: Prime Factorization of 10929

Prime factors of 10929 are 3, 3643. Prime factorization of 10929 in exponential form is:

10929 = 3¹ × 3643¹

Step-2: Prime Factorization of 10947

Prime factors of 10947 are 3, 41, 89. Prime factorization of 10947 in exponential form is:

10947 = 3¹ × 41¹ × 89¹

Step-3: Factors of 10929

List of positive integer factors of 10929 that divides 10929 without a remainder.

1, 3, 3643

Step-4: Factors of 10947

List of positive integer factors of 10947 that divides 10929 without a remainder.

1, 3, 41, 89, 123, 267, 3649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10929 and 10947. The biggest common factor number is the GCF number.
So the greatest common factor 10929 and 10947 is 3.

Also check out the Least Common Multiple of 10929 and 10947