Greatest Common Factor of 4940 and 4944

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 4940, 4944 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4940 and 4944 is 4.

GCF(4940,4944) = 4

GCF of 4940 and 4944

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

GCF of:
and

Greatest Common Factor of 4940 and 4944

GCF of 4940 and 4944 is 4

Prime Factorization of 4940


2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 4940 are 2,5,13,19. Prime factorization of 4940 in exponential form is:

4940 = 22×51×131×191

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2,3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

∴ So by taking common prime factors GCF of 4940 and 4944 is 4

Greatest Common Factor of 4940 and 4944 by matching factors method

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Greatest Common Factor

We found the factors and prime factorization of 4940 and 4944. The biggest common factor number is the GCF number.
So the greatest common factor 4940 and 4944 is 4.

Also check out the Least Common Multiple of 4940 and 4944

Properties of GCF 4940 and 4944

(i) The GCF of 4940 and 4944 is associative

GCF of 4940 and 4944 = GCF of 4944 and 4940

Related Greatest Common Factor of 4940

Related Greatest Common Factor of 4944

Frequently Asked Questions on GCF of 4940 and 4944

1. What is the GCF of 4940 and 4944?

Answer: GCF of 4940 and 4944 is 4.

2. What are the Factors of 4940?

Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.

3. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

4. How to Find the GCF of 4940 and 4944?

Answer:

Greatest Common Factor of 4940 and 4944 = 4

Step 1: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

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 4940 and 4944 is 4