Greatest Common Factor of 4907 and 4914

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 4907, 4914 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4907 and 4914 is 7.

GCF(4907,4914) = 7

GCF of 4907 and 4914

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

GCF of:
and

Greatest Common Factor of 4907 and 4914

GCF of 4907 and 4914 is 7

Prime Factorization of 4907


7 4907
701 701
1

Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:

4907 = 71×7011

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

∴ So by taking common prime factors GCF of 4907 and 4914 is 7

Greatest Common Factor of 4907 and 4914 by matching factors method

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1,7,701,4907

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

Greatest Common Factor

We found the factors and prime factorization of 4907 and 4914. The biggest common factor number is the GCF number.
So the greatest common factor 4907 and 4914 is 7.

Also check out the Least Common Multiple of 4907 and 4914

Properties of GCF 4907 and 4914

(i) The GCF of 4907 and 4914 is associative

GCF of 4907 and 4914 = GCF of 4914 and 4907

Related Greatest Common Factor of 4907

Related Greatest Common Factor of 4914

Frequently Asked Questions on GCF of 4907 and 4914

1. What is the GCF of 4907 and 4914?

Answer: GCF of 4907 and 4914 is 7.

2. What are the Factors of 4907?

Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.

3. 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.

4. How to Find the GCF of 4907 and 4914?

Answer:

Greatest Common Factor of 4907 and 4914 = 7

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

Step 2: Find the prime factorization of 4914

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

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4907 and 4914 is 7