Greatest Common Factor of 9954 and 9960

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 9954, 9960 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9954 and 9960 is 6.

GCF(9954,9960) = 6

GCF of 9954 and 9960

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

GCF of:
and

Greatest Common Factor of 9954 and 9960

GCF of 9954 and 9960 is 6

Prime Factorization of 9954


2 9954
3 4977
3 1659
7 553
79 79
1

Prime factors of 9954 are 2,3,7,79. Prime factorization of 9954 in exponential form is:

9954 = 21×32×71×791

Prime Factorization of 9960


2 9960
2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 9960 are 2,3,5,83. Prime factorization of 9960 in exponential form is:

9960 = 23×31×51×831

∴ So by taking common prime factors GCF of 9954 and 9960 is 6

Greatest Common Factor of 9954 and 9960 by matching factors method

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors and prime factorization of 9954 and 9960. The biggest common factor number is the GCF number.
So the greatest common factor 9954 and 9960 is 6.

Also check out the Least Common Multiple of 9954 and 9960

Properties of GCF 9954 and 9960

(i) The GCF of 9954 and 9960 is associative

GCF of 9954 and 9960 = GCF of 9960 and 9954

Related Greatest Common Factor of 9954

Related Greatest Common Factor of 9960

Frequently Asked Questions on GCF of 9954 and 9960

1. What is the GCF of 9954 and 9960?

Answer: GCF of 9954 and 9960 is 6.

2. What are the Factors of 9954?

Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.

3. What are the Factors of 9960?

Answer: Factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960. There are 32 integers that are factors of 9960. The greatest factor of 9960 is 9960.

4. How to Find the GCF of 9954 and 9960?

Answer:

Greatest Common Factor of 9954 and 9960 = 6

Step 1: Find the prime factorization of 9954

9954 = 2 x 3 x 3 x 7 x 79

Step 2: Find the prime factorization of 9960

9960 = 2 x 2 x 2 x 3 x 5 x 83

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9954 and 9960 is 6