What is the Greatest Common Factor of 10928 and 10946?

Greatest common factor (GCF) of 10928 and 10946 is 2.

GCF(10928,10946) = 2

We will now calculate the prime factors of 10928 and 10946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10928 and 10946.

How to find the GCF of 10928 and 10946?

We will first find the prime factorization of 10928 and 10946. After we will calculate the factors of 10928 and 10946 and find the biggest common factor number .

Step-1: Prime Factorization of 10928

Prime factors of 10928 are 2, 683. Prime factorization of 10928 in exponential form is:

10928 = 2⁴ × 683¹

Step-2: Prime Factorization of 10946

Prime factors of 10946 are 2, 13, 421. Prime factorization of 10946 in exponential form is:

10946 = 2¹ × 13¹ × 421¹

Step-3: Factors of 10928

List of positive integer factors of 10928 that divides 10928 without a remainder.

1, 2, 4, 8, 16, 683, 1366, 2732, 5464

Step-4: Factors of 10946

List of positive integer factors of 10946 that divides 10928 without a remainder.

1, 2, 13, 26, 421, 842, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10928 and 10946. The biggest common factor number is the GCF number.
So the greatest common factor 10928 and 10946 is 2.

Also check out the Least Common Multiple of 10928 and 10946