Greatest Common Factor of 9954 and 9958

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, 9958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9954 and 9958 is 2.

GCF(9954,9958) = 2

GCF of 9954 and 9958

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

GCF of:
and

Greatest Common Factor of 9954 and 9958

GCF of 9954 and 9958 is 2

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 9958


2 9958
13 4979
383 383
1

Prime factors of 9958 are 2,13,383. Prime factorization of 9958 in exponential form is:

9958 = 21×131×3831

∴ So by taking common prime factors GCF of 9954 and 9958 is 2

Greatest Common Factor of 9954 and 9958 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 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Greatest Common Factor

We found the factors and prime factorization of 9954 and 9958. The biggest common factor number is the GCF number.
So the greatest common factor 9954 and 9958 is 2.

Also check out the Least Common Multiple of 9954 and 9958

Properties of GCF 9954 and 9958

(i) The GCF of 9954 and 9958 is associative

GCF of 9954 and 9958 = GCF of 9958 and 9954

Related Greatest Common Factor of 9954

Related Greatest Common Factor of 9958

Frequently Asked Questions on GCF of 9954 and 9958

1. What is the GCF of 9954 and 9958?

Answer: GCF of 9954 and 9958 is 2.

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 9958?

Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.

4. How to Find the GCF of 9954 and 9958?

Answer:

Greatest Common Factor of 9954 and 9958 = 2

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 9958

9958 = 2 x 13 x 383

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9954 and 9958 is 2