What is the Greatest Common Factor of 20944 and 20961?

Greatest common factor (GCF) of 20944 and 20961 is 17.

GCF(20944,20961) = 17

We will now calculate the prime factors of 20944 and 20961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20944 and 20961.

How to find the GCF of 20944 and 20961?

We will first find the prime factorization of 20944 and 20961. After we will calculate the factors of 20944 and 20961 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 20961

Prime factors of 20961 are 3, 17, 137. Prime factorization of 20961 in exponential form is:

20961 = 3² × 17¹ × 137¹

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 20961

List of positive integer factors of 20961 that divides 20944 without a remainder.

1, 3, 9, 17, 51, 137, 153, 411, 1233, 2329, 6987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20944 and 20961. The biggest common factor number is the GCF number.
So the greatest common factor 20944 and 20961 is 17.

Also check out the Least Common Multiple of 20944 and 20961