What is the Greatest Common Factor of 20928 and 20948?

Greatest common factor (GCF) of 20928 and 20948 is 4.

GCF(20928,20948) = 4

We will now calculate the prime factors of 20928 and 20948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20948.

How to find the GCF of 20928 and 20948?

We will first find the prime factorization of 20928 and 20948. After we will calculate the factors of 20928 and 20948 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 20948

Prime factors of 20948 are 2, 5237. Prime factorization of 20948 in exponential form is:

20948 = 2² × 5237¹

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 20948

List of positive integer factors of 20948 that divides 20928 without a remainder.

1, 2, 4, 5237, 10474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20928 and 20948. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20948 is 4.

Also check out the Least Common Multiple of 20928 and 20948