What is the Greatest Common Factor of 20925 and 20934?

Greatest common factor (GCF) of 20925 and 20934 is 9.

GCF(20925,20934) = 9

We will now calculate the prime factors of 20925 and 20934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20925 and 20934.

How to find the GCF of 20925 and 20934?

We will first find the prime factorization of 20925 and 20934. After we will calculate the factors of 20925 and 20934 and find the biggest common factor number .

Step-1: Prime Factorization of 20925

Prime factors of 20925 are 3, 5, 31. Prime factorization of 20925 in exponential form is:

20925 = 3³ × 5² × 31¹

Step-2: 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-3: Factors of 20925

List of positive integer factors of 20925 that divides 20925 without a remainder.

1, 3, 5, 9, 15, 25, 27, 31, 45, 75, 93, 135, 155, 225, 279, 465, 675, 775, 837, 1395, 2325, 4185, 6975

Step-4: Factors of 20934

List of positive integer factors of 20934 that divides 20925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20925 and 20934. The biggest common factor number is the GCF number.
So the greatest common factor 20925 and 20934 is 9.

Also check out the Least Common Multiple of 20925 and 20934