What is the Greatest Common Factor of 20942 and 20947?

Greatest common factor (GCF) of 20942 and 20947 is 1.

GCF(20942,20947) = 1

We will now calculate the prime factors of 20942 and 20947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20942 and 20947.

How to find the GCF of 20942 and 20947?

We will first find the prime factorization of 20942 and 20947. After we will calculate the factors of 20942 and 20947 and find the biggest common factor number .

Step-1: Prime Factorization of 20942

Prime factors of 20942 are 2, 37, 283. Prime factorization of 20942 in exponential form is:

20942 = 2¹ × 37¹ × 283¹

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 20942

List of positive integer factors of 20942 that divides 20942 without a remainder.

1, 2, 37, 74, 283, 566, 10471

Step-4: Factors of 20947

List of positive integer factors of 20947 that divides 20942 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20942 and 20947. The biggest common factor number is the GCF number.
So the greatest common factor 20942 and 20947 is 1.

Also check out the Least Common Multiple of 20942 and 20947