Greatest Common Factor of 5983 and 5987

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

• Greatest Common Factor of 5983 and 5987 by prime factorization method
• Greatest Common Factor of 5983 and 5987 by matching factors method

Prime Factorization of 5983

Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:

5983 = 31¹×193¹

Prime Factorization of 5987

Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:

5987 = 5987¹

∴ So by taking common prime factors GCF of 5983 and 5987 is 1

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1,5987

Greatest Common Factor

We found the factors and prime factorization of 5983 and 5987. The biggest common factor number is the GCF number.
So the greatest common factor 5983 and 5987 is 1.

Also check out the Least Common Multiple of 5983 and 5987

(i) The GCF of 5983 and 5987 is associative

GCF of 5983 and 5987 = GCF of 5987 and 5983

1. What is the GCF of 5983 and 5987?

Answer: GCF of 5983 and 5987 is 1.

2. What are the Factors of 5983?

Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.

3. What are the Factors of 5987?

Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.

4. How to Find the GCF of 5983 and 5987?

Answer:

Greatest Common Factor of 5983 and 5987 = 1

Step 1: Find the prime factorization of 5983

5983 = 31 x 193

Step 2: Find the prime factorization of 5987

5987 = 5987

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 5983 and 5987 is 1