Greatest Common Factor of 9975 and 9978

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 9975, 9978 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9975 and 9978 is 3.

GCF(9975,9978) = 3

GCF of 9975 and 9978

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

GCF of:
and

Greatest Common Factor of 9975 and 9978

GCF of 9975 and 9978 is 3

Prime Factorization of 9975


3 9975
5 3325
5 665
7 133
19 19
1

Prime factors of 9975 are 3,5,7,19. Prime factorization of 9975 in exponential form is:

9975 = 31×52×71×191

Prime Factorization of 9978


2 9978
3 4989
1663 1663
1

Prime factors of 9978 are 2,3,1663. Prime factorization of 9978 in exponential form is:

9978 = 21×31×16631

∴ So by taking common prime factors GCF of 9975 and 9978 is 3

Greatest Common Factor of 9975 and 9978 by matching factors method

Factors of 9975

List of positive integer factors of 9975 that divides 9975 without a remainder.

1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1,2,3,6,1663,3326,4989,9978

Greatest Common Factor

We found the factors and prime factorization of 9975 and 9978. The biggest common factor number is the GCF number.
So the greatest common factor 9975 and 9978 is 3.

Also check out the Least Common Multiple of 9975 and 9978

Properties of GCF 9975 and 9978

(i) The GCF of 9975 and 9978 is associative

GCF of 9975 and 9978 = GCF of 9978 and 9975

Related Greatest Common Factor of 9975

Related Greatest Common Factor of 9978

Frequently Asked Questions on GCF of 9975 and 9978

1. What is the GCF of 9975 and 9978?

Answer: GCF of 9975 and 9978 is 3.

2. What are the Factors of 9975?

Answer: Factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975. There are 24 integers that are factors of 9975. The greatest factor of 9975 is 9975.

3. What are the Factors of 9978?

Answer: Factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978. There are 8 integers that are factors of 9978. The greatest factor of 9978 is 9978.

4. How to Find the GCF of 9975 and 9978?

Answer:

Greatest Common Factor of 9975 and 9978 = 3

Step 1: Find the prime factorization of 9975

9975 = 3 x 5 x 5 x 7 x 19

Step 2: Find the prime factorization of 9978

9978 = 2 x 3 x 1663

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9975 and 9978 is 3