What is the Greatest Common Factor of 20934 and 20952?

Greatest common factor (GCF) of 20934 and 20952 is 18.

GCF(20934,20952) = 18

We will now calculate the prime factors of 20934 and 20952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20934 and 20952.

How to find the GCF of 20934 and 20952?

We will first find the prime factorization of 20934 and 20952. After we will calculate the factors of 20934 and 20952 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 20952

Prime factors of 20952 are 2, 3, 97. Prime factorization of 20952 in exponential form is:

20952 = 2³ × 3³ × 97¹

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 20952

List of positive integer factors of 20952 that divides 20934 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 97, 108, 194, 216, 291, 388, 582, 776, 873, 1164, 1746, 2328, 2619, 3492, 5238, 6984, 10476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20934 and 20952. The biggest common factor number is the GCF number.
So the greatest common factor 20934 and 20952 is 18.

Also check out the Least Common Multiple of 20934 and 20952