What is the Greatest Common Factor of 20925 and 20940?

Greatest common factor (GCF) of 20925 and 20940 is 15.

GCF(20925,20940) = 15

We will now calculate the prime factors of 20925 and 20940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20925 and 20940.

How to find the GCF of 20925 and 20940?

We will first find the prime factorization of 20925 and 20940. After we will calculate the factors of 20925 and 20940 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 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 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 20940

List of positive integer factors of 20940 that divides 20925 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 20925 and 20940. The biggest common factor number is the GCF number.
So the greatest common factor 20925 and 20940 is 15.

Also check out the Least Common Multiple of 20925 and 20940