What is the Greatest Common Factor of 10932 and 10947?

Greatest common factor (GCF) of 10932 and 10947 is 3.

GCF(10932,10947) = 3

We will now calculate the prime factors of 10932 and 10947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10932 and 10947.

How to find the GCF of 10932 and 10947?

We will first find the prime factorization of 10932 and 10947. After we will calculate the factors of 10932 and 10947 and find the biggest common factor number .

Step-1: Prime Factorization of 10932

Prime factors of 10932 are 2, 3, 911. Prime factorization of 10932 in exponential form is:

10932 = 2² × 3¹ × 911¹

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 10932

List of positive integer factors of 10932 that divides 10932 without a remainder.

1, 2, 3, 4, 6, 12, 911, 1822, 2733, 3644, 5466

Step-4: Factors of 10947

List of positive integer factors of 10947 that divides 10932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10932 and 10947. The biggest common factor number is the GCF number.
So the greatest common factor 10932 and 10947 is 3.

Also check out the Least Common Multiple of 10932 and 10947