Greatest Common Factor of 943 and 947

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 943 and 947 by prime factorization method
• Greatest Common Factor of 943 and 947 by matching factors method

Prime Factorization of 943

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

943 = 23¹×41¹

Prime Factorization of 947

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

947 = 947¹

∴ So by taking common prime factors GCF of 943 and 947 is 1

Factors of 943

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

1,23,41,943

Factors of 947

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

1,947

Greatest Common Factor

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

(i) The GCF of 943 and 947 is associative

GCF of 943 and 947 = GCF of 947 and 943

1. What is the GCF of 943 and 947?

Answer: GCF of 943 and 947 is 1.

2. What are the Factors of 943?

Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.

3. What are the Factors of 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the GCF of 943 and 947?

Answer:

Greatest Common Factor of 943 and 947 = 1

Step 1: Find the prime factorization of 943

943 = 23 x 41

Step 2: Find the prime factorization of 947

947 = 947

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 943 and 947 is 1