What is the Greatest Common Factor of 20912 and 20930?

Greatest common factor (GCF) of 20912 and 20930 is 2.

GCF(20912,20930) = 2

We will now calculate the prime factors of 20912 and 20930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20912 and 20930.

How to find the GCF of 20912 and 20930?

We will first find the prime factorization of 20912 and 20930. After we will calculate the factors of 20912 and 20930 and find the biggest common factor number .

Step-1: Prime Factorization of 20912

Prime factors of 20912 are 2, 1307. Prime factorization of 20912 in exponential form is:

20912 = 2⁴ × 1307¹

Step-2: 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-3: Factors of 20912

List of positive integer factors of 20912 that divides 20912 without a remainder.

1, 2, 4, 8, 16, 1307, 2614, 5228, 10456

Step-4: Factors of 20930

List of positive integer factors of 20930 that divides 20912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20912 and 20930. The biggest common factor number is the GCF number.
So the greatest common factor 20912 and 20930 is 2.

Also check out the Least Common Multiple of 20912 and 20930