What is the Greatest Common Factor of 20944 and 20948?

Greatest common factor (GCF) of 20944 and 20948 is 4.

GCF(20944,20948) = 4

We will now calculate the prime factors of 20944 and 20948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20944 and 20948.

How to find the GCF of 20944 and 20948?

We will first find the prime factorization of 20944 and 20948. After we will calculate the factors of 20944 and 20948 and find the biggest common factor number .

Step-1: Prime Factorization of 20944

Prime factors of 20944 are 2, 7, 11, 17. Prime factorization of 20944 in exponential form is:

20944 = 2⁴ × 7¹ × 11¹ × 17¹

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 20944

List of positive integer factors of 20944 that divides 20944 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 17, 22, 28, 34, 44, 56, 68, 77, 88, 112, 119, 136, 154, 176, 187, 238, 272, 308, 374, 476, 616, 748, 952, 1232, 1309, 1496, 1904, 2618, 2992, 5236, 10472

Step-4: Factors of 20948

List of positive integer factors of 20948 that divides 20944 without a remainder.

1, 2, 4, 5237, 10474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20944 and 20948. The biggest common factor number is the GCF number.
So the greatest common factor 20944 and 20948 is 4.

Also check out the Least Common Multiple of 20944 and 20948