Greatest Common Factor of 9959 and 9967

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

• Greatest Common Factor of 9959 and 9967 by prime factorization method
• Greatest Common Factor of 9959 and 9967 by matching factors method

Prime Factorization of 9959

Prime factors of 9959 are 23,433. Prime factorization of 9959 in exponential form is:

9959 = 23¹×433¹

Prime Factorization of 9967

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 9967¹

∴ So by taking common prime factors GCF of 9959 and 9967 is 1

Factors of 9959

List of positive integer factors of 9959 that divides 9959 without a remainder.

1,23,433,9959

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Greatest Common Factor

We found the factors and prime factorization of 9959 and 9967. The biggest common factor number is the GCF number.
So the greatest common factor 9959 and 9967 is 1.

Also check out the Least Common Multiple of 9959 and 9967

(i) The GCF of 9959 and 9967 is associative

GCF of 9959 and 9967 = GCF of 9967 and 9959

1. What is the GCF of 9959 and 9967?

Answer: GCF of 9959 and 9967 is 1.

2. What are the Factors of 9959?

Answer: Factors of 9959 are 1, 23, 433, 9959. There are 4 integers that are factors of 9959. The greatest factor of 9959 is 9959.

3. What are the Factors of 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

4. How to Find the GCF of 9959 and 9967?

Answer:

Greatest Common Factor of 9959 and 9967 = 1

Step 1: Find the prime factorization of 9959

9959 = 23 x 433

Step 2: Find the prime factorization of 9967

9967 = 9967

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 9959 and 9967 is 1