Greatest Common Factor of 5939 and 5947

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

• Greatest Common Factor of 5939 and 5947 by prime factorization method
• Greatest Common Factor of 5939 and 5947 by matching factors method

Prime Factorization of 5939

Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:

5939 = 5939¹

Prime Factorization of 5947

Prime factors of 5947 are 19.Prime factorization of 5947 in exponential form is:

5947 = 19¹×313¹

∴ So by taking common prime factors GCF of 5939 and 5947 is 1

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1,5939

Factors of 5947

List of positive integer factors of 5947 that divides 5947 without a remainder.

1,19,313,5947

Greatest Common Factor

We found the factors and prime factorization of 5939 and 5947. The biggest common factor number is the GCF number.
So the greatest common factor 5939 and 5947 is 1.

Also check out the Least Common Multiple of 5939 and 5947

(i) The GCF of 5939 and 5947 is associative

GCF of 5939 and 5947 = GCF of 5947 and 5939

1. What is the GCF of 5939 and 5947?

Answer: GCF of 5939 and 5947 is 1.

2. What are the Factors of 5939?

Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.

3. What are the Factors of 5947?

Answer: Factors of 5947 are 1, 19, 313, 5947. There are 4 integers that are factors of 5947. The greatest factor of 5947 is 5947.

4. How to Find the GCF of 5939 and 5947?

Answer:

Greatest Common Factor of 5939 and 5947 = 1

Step 1: Find the prime factorization of 5939

5939 = 5939

Step 2: Find the prime factorization of 5947

5947 = 19 x 313

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 5939 and 5947 is 1