What is the Greatest Common Factor of 20928 and 20942?

Greatest common factor (GCF) of 20928 and 20942 is 2.

GCF(20928,20942) = 2

We will now calculate the prime factors of 20928 and 20942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20942.

How to find the GCF of 20928 and 20942?

We will first find the prime factorization of 20928 and 20942. After we will calculate the factors of 20928 and 20942 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 20942

Prime factors of 20942 are 2, 37, 283. Prime factorization of 20942 in exponential form is:

20942 = 2¹ × 37¹ × 283¹

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 20942

List of positive integer factors of 20942 that divides 20928 without a remainder.

1, 2, 37, 74, 283, 566, 10471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20928 and 20942. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20942 is 2.

Also check out the Least Common Multiple of 20928 and 20942