Greatest Common Factor of 4940 and 4945

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, 4945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4940 and 4945 is 5.

GCF(4940,4945) = 5

GCF of 4940 and 4945

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

GCF of:
and

Greatest Common Factor of 4940 and 4945

GCF of 4940 and 4945 is 5

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 4945


5 4945
23 989
43 43
1

Prime factors of 4945 are 5,23,43. Prime factorization of 4945 in exponential form is:

4945 = 51×231×431

∴ So by taking common prime factors GCF of 4940 and 4945 is 5

Greatest Common Factor of 4940 and 4945 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 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1,5,23,43,115,215,989,4945

Greatest Common Factor

We found the factors and prime factorization of 4940 and 4945. The biggest common factor number is the GCF number.
So the greatest common factor 4940 and 4945 is 5.

Also check out the Least Common Multiple of 4940 and 4945

Properties of GCF 4940 and 4945

(i) The GCF of 4940 and 4945 is associative

GCF of 4940 and 4945 = GCF of 4945 and 4940

Related Greatest Common Factor of 4940

Related Greatest Common Factor of 4945

Frequently Asked Questions on GCF of 4940 and 4945

1. What is the GCF of 4940 and 4945?

Answer: GCF of 4940 and 4945 is 5.

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 4945?

Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.

4. How to Find the GCF of 4940 and 4945?

Answer:

Greatest Common Factor of 4940 and 4945 = 5

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 4945

4945 = 5 x 23 x 43

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4940 and 4945 is 5