What is the Greatest Common Factor of 20940 and 20947?

Greatest common factor (GCF) of 20940 and 20947 is 1.

GCF(20940,20947) = 1

We will now calculate the prime factors of 20940 and 20947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20940 and 20947.

How to find the GCF of 20940 and 20947?

We will first find the prime factorization of 20940 and 20947. After we will calculate the factors of 20940 and 20947 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20947

Prime factors of 20947 are 20947. Prime factorization of 20947 in exponential form is:

20947 = 20947¹

Step-3: Factors of 20940

List of positive integer factors of 20940 that divides 20940 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

Step-4: Factors of 20947

List of positive integer factors of 20947 that divides 20940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20940 and 20947. The biggest common factor number is the GCF number.
So the greatest common factor 20940 and 20947 is 1.

Also check out the Least Common Multiple of 20940 and 20947