Greatest Common Factor of 9967 and 9973

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

• Greatest Common Factor of 9967 and 9973 by prime factorization method
• Greatest Common Factor of 9967 and 9973 by matching factors method

Prime Factorization of 9967

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

9967 = 9967¹

Prime Factorization of 9973

Prime factors of 9973 are 9973.Prime factorization of 9973 in exponential form is:

9973 = 9973¹

∴ So by taking common prime factors GCF of 9967 and 9973 is 1

Factors of 9967

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

1,9967

Factors of 9973

List of positive integer factors of 9973 that divides 9973 without a remainder.

1,9973

Greatest Common Factor

We found the factors and prime factorization of 9967 and 9973. The biggest common factor number is the GCF number.
So the greatest common factor 9967 and 9973 is 1.

Also check out the Least Common Multiple of 9967 and 9973

(i) The GCF of 9967 and 9973 is associative

GCF of 9967 and 9973 = GCF of 9973 and 9967

1. What is the GCF of 9967 and 9973?

Answer: GCF of 9967 and 9973 is 1.

2. 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.

3. What are the Factors of 9973?

Answer: Factors of 9973 are 1, 9973. There are 2 integers that are factors of 9973. The greatest factor of 9973 is 9973.

4. How to Find the GCF of 9967 and 9973?

Answer:

Greatest Common Factor of 9967 and 9973 = 1

Step 1: Find the prime factorization of 9967

9967 = 9967

Step 2: Find the prime factorization of 9973

9973 = 9973

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 9967 and 9973 is 1