What is the Greatest Common Factor of 20934 and 20940?

Greatest common factor (GCF) of 20934 and 20940 is 6.

GCF(20934,20940) = 6

We will now calculate the prime factors of 20934 and 20940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20934 and 20940.

How to find the GCF of 20934 and 20940?

We will first find the prime factorization of 20934 and 20940. After we will calculate the factors of 20934 and 20940 and find the biggest common factor number .

Step-1: Prime Factorization of 20934

Prime factors of 20934 are 2, 3, 1163. Prime factorization of 20934 in exponential form is:

20934 = 2¹ × 3² × 1163¹

Step-2: Prime Factorization of 20940

Prime factors of 20940 are 2, 3, 5, 349. Prime factorization of 20940 in exponential form is:

20940 = 2² × 3¹ × 5¹ × 349¹

Step-3: Factors of 20934

List of positive integer factors of 20934 that divides 20934 without a remainder.

1, 2, 3, 6, 9, 18, 1163, 2326, 3489, 6978, 10467

Step-4: Factors of 20940

List of positive integer factors of 20940 that divides 20934 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 349, 698, 1047, 1396, 1745, 2094, 3490, 4188, 5235, 6980, 10470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20934 and 20940. The biggest common factor number is the GCF number.
So the greatest common factor 20934 and 20940 is 6.

Also check out the Least Common Multiple of 20934 and 20940