Greatest Common Factor of 4914 and 4917

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 4914, 4917 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4914 and 4917 is 3.

GCF(4914,4917) = 3

GCF of 4914 and 4917

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

GCF of:
and

Greatest Common Factor of 4914 and 4917

GCF of 4914 and 4917 is 3

Prime Factorization of 4914


2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 4914 are 2,3,7,13. Prime factorization of 4914 in exponential form is:

4914 = 21×33×71×131

Prime Factorization of 4917


3 4917
11 1639
149 149
1

Prime factors of 4917 are 3,11,149. Prime factorization of 4917 in exponential form is:

4917 = 31×111×1491

∴ So by taking common prime factors GCF of 4914 and 4917 is 3

Greatest Common Factor of 4914 and 4917 by matching factors method

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1,3,11,33,149,447,1639,4917

Greatest Common Factor

We found the factors and prime factorization of 4914 and 4917. The biggest common factor number is the GCF number.
So the greatest common factor 4914 and 4917 is 3.

Also check out the Least Common Multiple of 4914 and 4917

Properties of GCF 4914 and 4917

(i) The GCF of 4914 and 4917 is associative

GCF of 4914 and 4917 = GCF of 4917 and 4914

Related Greatest Common Factor of 4914

Related Greatest Common Factor of 4917

Frequently Asked Questions on GCF of 4914 and 4917

1. What is the GCF of 4914 and 4917?

Answer: GCF of 4914 and 4917 is 3.

2. What are the Factors of 4914?

Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.

3. What are the Factors of 4917?

Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.

4. How to Find the GCF of 4914 and 4917?

Answer:

Greatest Common Factor of 4914 and 4917 = 3

Step 1: Find the prime factorization of 4914

4914 = 2 x 3 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 4917

4917 = 3 x 11 x 149

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4914 and 4917 is 3