What is the Greatest Common Factor of 20928 and 20946?

Greatest common factor (GCF) of 20928 and 20946 is 6.

GCF(20928,20946) = 6

We will now calculate the prime factors of 20928 and 20946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20946.

How to find the GCF of 20928 and 20946?

We will first find the prime factorization of 20928 and 20946. After we will calculate the factors of 20928 and 20946 and find the biggest common factor number .

Step-1: Prime Factorization of 20928

Prime factors of 20928 are 2, 3, 109. Prime factorization of 20928 in exponential form is:

20928 = 2⁶ × 3¹ × 109¹

Step-2: Prime Factorization of 20946

Prime factors of 20946 are 2, 3, 3491. Prime factorization of 20946 in exponential form is:

20946 = 2¹ × 3¹ × 3491¹

Step-3: Factors of 20928

List of positive integer factors of 20928 that divides 20928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 192, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464

Step-4: Factors of 20946

List of positive integer factors of 20946 that divides 20928 without a remainder.

1, 2, 3, 6, 3491, 6982, 10473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20928 and 20946. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20946 is 6.

Also check out the Least Common Multiple of 20928 and 20946