Greatest Common Factor of 9940 and 9948

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 9940, 9948 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9940 and 9948 is 4.

GCF(9940,9948) = 4

GCF of 9940 and 9948

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

GCF of:
and

Greatest Common Factor of 9940 and 9948

GCF of 9940 and 9948 is 4

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2,5,7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

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

∴ So by taking common prime factors GCF of 9940 and 9948 is 4

Greatest Common Factor of 9940 and 9948 by matching factors method

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

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

Greatest Common Factor

We found the factors and prime factorization of 9940 and 9948. The biggest common factor number is the GCF number.
So the greatest common factor 9940 and 9948 is 4.

Also check out the Least Common Multiple of 9940 and 9948

Properties of GCF 9940 and 9948

(i) The GCF of 9940 and 9948 is associative

GCF of 9940 and 9948 = GCF of 9948 and 9940

Related Greatest Common Factor of 9940

Related Greatest Common Factor of 9948

Frequently Asked Questions on GCF of 9940 and 9948

1. What is the GCF of 9940 and 9948?

Answer: GCF of 9940 and 9948 is 4.

2. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

3. 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.

4. How to Find the GCF of 9940 and 9948?

Answer:

Greatest Common Factor of 9940 and 9948 = 4

Step 1: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

Step 2: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9940 and 9948 is 4