Greatest Common Factor of 9967 and 9971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9967, 9971 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9967 and 9971 is 1.

GCF(9967,9971) = 1

GCF of 9967 and 9971

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

GCF of:
and

Greatest Common Factor of 9967 and 9971

GCF of 9967 and 9971 is 1

Prime Factorization of 9967


9967 9967
1

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

9967 = 99671

Prime Factorization of 9971


13 9971
13 767
59 59
1

Prime factors of 9971 are 13.Prime factorization of 9971 in exponential form is:

9971 = 132×591

∴ So by taking common prime factors GCF of 9967 and 9971 is 1

Greatest Common Factor of 9967 and 9971 by matching factors method

Factors of 9967

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

1,9967

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors and prime factorization of 9967 and 9971. The biggest common factor number is the GCF number.
So the greatest common factor 9967 and 9971 is 1.

Also check out the Least Common Multiple of 9967 and 9971

Properties of GCF 9967 and 9971

(i) The GCF of 9967 and 9971 is associative

GCF of 9967 and 9971 = GCF of 9971 and 9967

Related Greatest Common Factor of 9967

Related Greatest Common Factor of 9971

Frequently Asked Questions on GCF of 9967 and 9971

1. What is the GCF of 9967 and 9971?

Answer: GCF of 9967 and 9971 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 9971?

Answer: Factors of 9971 are 1, 13, 59, 169, 767, 9971. There are 6 integers that are factors of 9971. The greatest factor of 9971 is 9971.

4. How to Find the GCF of 9967 and 9971?

Answer:

Greatest Common Factor of 9967 and 9971 = 1

Step 1: Find the prime factorization of 9967

9967 = 9967

Step 2: Find the prime factorization of 9971

9971 = 13 x 13 x 59

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 9971 is 1