Greatest Common Factor of 4914 and 4916

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, 4916 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4914 and 4916 is 2.

GCF(4914,4916) = 2

GCF of 4914 and 4916

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

GCF of:
and

Greatest Common Factor of 4914 and 4916

GCF of 4914 and 4916 is 2

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 4916


2 4916
2 2458
1229 1229
1

Prime factors of 4916 are 2,1229. Prime factorization of 4916 in exponential form is:

4916 = 22×12291

∴ So by taking common prime factors GCF of 4914 and 4916 is 2

Greatest Common Factor of 4914 and 4916 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 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1,2,4,1229,2458,4916

Greatest Common Factor

We found the factors and prime factorization of 4914 and 4916. The biggest common factor number is the GCF number.
So the greatest common factor 4914 and 4916 is 2.

Also check out the Least Common Multiple of 4914 and 4916

Properties of GCF 4914 and 4916

(i) The GCF of 4914 and 4916 is associative

GCF of 4914 and 4916 = GCF of 4916 and 4914

Related Greatest Common Factor of 4914

Related Greatest Common Factor of 4916

Frequently Asked Questions on GCF of 4914 and 4916

1. What is the GCF of 4914 and 4916?

Answer: GCF of 4914 and 4916 is 2.

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 4916?

Answer: Factors of 4916 are 1, 2, 4, 1229, 2458, 4916. There are 6 integers that are factors of 4916. The greatest factor of 4916 is 4916.

4. How to Find the GCF of 4914 and 4916?

Answer:

Greatest Common Factor of 4914 and 4916 = 2

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 4916

4916 = 2 x 2 x 1229

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4914 and 4916 is 2