What is the Greatest Common Factor of 20930 and 20944?

Greatest common factor (GCF) of 20930 and 20944 is 14.

GCF(20930,20944) = 14

We will now calculate the prime factors of 20930 and 20944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20930 and 20944.

How to find the GCF of 20930 and 20944?

We will first find the prime factorization of 20930 and 20944. After we will calculate the factors of 20930 and 20944 and find the biggest common factor number .

Step-1: Prime Factorization of 20930

Prime factors of 20930 are 2, 5, 7, 13, 23. Prime factorization of 20930 in exponential form is:

20930 = 2¹ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 20930

List of positive integer factors of 20930 that divides 20930 without a remainder.

1, 2, 5, 7, 10, 13, 14, 23, 26, 35, 46, 65, 70, 91, 115, 130, 161, 182, 230, 299, 322, 455, 598, 805, 910, 1495, 1610, 2093, 2990, 4186, 10465

Step-4: Factors of 20944

List of positive integer factors of 20944 that divides 20930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20930 and 20944. The biggest common factor number is the GCF number.
So the greatest common factor 20930 and 20944 is 14.

Also check out the Least Common Multiple of 20930 and 20944