Greatest Common Factor of 9948 and 9954

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 9948, 9954 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9948 and 9954 is 6.

GCF(9948,9954) = 6

GCF of 9948 and 9954

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

GCF of:
and

Greatest Common Factor of 9948 and 9954

GCF of 9948 and 9954 is 6

Prime Factorization of 9948


2 9948
2 4974
3 2487
829 829
1

Prime factors of 9948 are 2,3,829. Prime factorization of 9948 in exponential form is:

9948 = 22×31×8291

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

∴ So by taking common prime factors GCF of 9948 and 9954 is 6

Greatest Common Factor of 9948 and 9954 by matching factors method

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1,2,3,4,6,12,829,1658,2487,3316,4974,9948

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

Greatest Common Factor

We found the factors and prime factorization of 9948 and 9954. The biggest common factor number is the GCF number.
So the greatest common factor 9948 and 9954 is 6.

Also check out the Least Common Multiple of 9948 and 9954

Properties of GCF 9948 and 9954

(i) The GCF of 9948 and 9954 is associative

GCF of 9948 and 9954 = GCF of 9954 and 9948

Related Greatest Common Factor of 9948

Related Greatest Common Factor of 9954

Frequently Asked Questions on GCF of 9948 and 9954

1. What is the GCF of 9948 and 9954?

Answer: GCF of 9948 and 9954 is 6.

2. What are the Factors of 9948?

Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.

3. 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.

4. How to Find the GCF of 9948 and 9954?

Answer:

Greatest Common Factor of 9948 and 9954 = 6

Step 1: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

Step 2: Find the prime factorization of 9954

9954 = 2 x 3 x 3 x 7 x 79

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 9948 and 9954 is 6