What is the Greatest Common Factor of 943 and 947?

Greatest common factor (GCF) of 943 and 947 is 1.

GCF(943,947) = 1

We will now calculate the prime factors of 943 and 947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 943 and 947.

How to find the GCF of 943 and 947?

We will first find the prime factorization of 943 and 947. After we will calculate the factors of 943 and 947 and find the biggest common factor number .

Step-1: Prime Factorization of 943

Prime factors of 943 are 23, 41. Prime factorization of 943 in exponential form is:

943 = 23¹ × 41¹

Step-2: Prime Factorization of 947

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 947¹

Step-3: Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1, 23, 41

Step-4: Factors of 947

List of positive integer factors of 947 that divides 943 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 943 and 947. The biggest common factor number is the GCF number.
So the greatest common factor 943 and 947 is 1.

Also check out the Least Common Multiple of 943 and 947