What is the Greatest Common Factor of 20923 and 20940?

Greatest common factor (GCF) of 20923 and 20940 is 1.

GCF(20923,20940) = 1

We will now calculate the prime factors of 20923 and 20940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20923 and 20940.

How to find the GCF of 20923 and 20940?

We will first find the prime factorization of 20923 and 20940. After we will calculate the factors of 20923 and 20940 and find the biggest common factor number .

Step-1: Prime Factorization of 20923

Prime factors of 20923 are 7, 61. Prime factorization of 20923 in exponential form is:

20923 = 7³ × 61¹

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 20923

List of positive integer factors of 20923 that divides 20923 without a remainder.

1, 7, 49, 61, 343, 427, 2989

Step-4: Factors of 20940

List of positive integer factors of 20940 that divides 20923 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 20923 and 20940. The biggest common factor number is the GCF number.
So the greatest common factor 20923 and 20940 is 1.

Also check out the Least Common Multiple of 20923 and 20940