What is the Greatest Common Factor of 20924 and 20930?

Greatest common factor (GCF) of 20924 and 20930 is 2.

GCF(20924,20930) = 2

We will now calculate the prime factors of 20924 and 20930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20924 and 20930.

How to find the GCF of 20924 and 20930?

We will first find the prime factorization of 20924 and 20930. After we will calculate the factors of 20924 and 20930 and find the biggest common factor number .

Step-1: Prime Factorization of 20924

Prime factors of 20924 are 2, 5231. Prime factorization of 20924 in exponential form is:

20924 = 2² × 5231¹

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 20924

List of positive integer factors of 20924 that divides 20924 without a remainder.

1, 2, 4, 5231, 10462

Step-4: Factors of 20930

List of positive integer factors of 20930 that divides 20924 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 20924 and 20930. The biggest common factor number is the GCF number.
So the greatest common factor 20924 and 20930 is 2.

Also check out the Least Common Multiple of 20924 and 20930