Greatest Common Factor of 9965 and 9970

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 9965, 9970 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9965 and 9970 is 5.

GCF(9965,9970) = 5

GCF of 9965 and 9970

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

GCF of:
and

Greatest Common Factor of 9965 and 9970

GCF of 9965 and 9970 is 5

Prime Factorization of 9965


5 9965
1993 1993
1

Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:

9965 = 51×19931

Prime Factorization of 9970


2 9970
5 4985
997 997
1

Prime factors of 9970 are 2,5,997. Prime factorization of 9970 in exponential form is:

9970 = 21×51×9971

∴ So by taking common prime factors GCF of 9965 and 9970 is 5

Greatest Common Factor of 9965 and 9970 by matching factors method

Factors of 9965

List of positive integer factors of 9965 that divides 9965 without a remainder.

1,5,1993,9965

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1,2,5,10,997,1994,4985,9970

Greatest Common Factor

We found the factors and prime factorization of 9965 and 9970. The biggest common factor number is the GCF number.
So the greatest common factor 9965 and 9970 is 5.

Also check out the Least Common Multiple of 9965 and 9970

Properties of GCF 9965 and 9970

(i) The GCF of 9965 and 9970 is associative

GCF of 9965 and 9970 = GCF of 9970 and 9965

Related Greatest Common Factor of 9965

Related Greatest Common Factor of 9970

Frequently Asked Questions on GCF of 9965 and 9970

1. What is the GCF of 9965 and 9970?

Answer: GCF of 9965 and 9970 is 5.

2. What are the Factors of 9965?

Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.

3. What are the Factors of 9970?

Answer: Factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970. There are 8 integers that are factors of 9970. The greatest factor of 9970 is 9970.

4. How to Find the GCF of 9965 and 9970?

Answer:

Greatest Common Factor of 9965 and 9970 = 5

Step 1: Find the prime factorization of 9965

9965 = 5 x 1993

Step 2: Find the prime factorization of 9970

9970 = 2 x 5 x 997

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9965 and 9970 is 5