Greatest Common Factor of 4692 and 4700

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 4692, 4700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4692 and 4700 is 4.

GCF(4692,4700) = 4

GCF of 4692 and 4700

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

GCF of:
and

Greatest Common Factor of 4692 and 4700

GCF of 4692 and 4700 is 4

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2,3,17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

Prime Factorization of 4700


2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 4700 are 2,5,47. Prime factorization of 4700 in exponential form is:

4700 = 22×52×471

∴ So by taking common prime factors GCF of 4692 and 4700 is 4

Greatest Common Factor of 4692 and 4700 by matching factors method

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

Greatest Common Factor

We found the factors and prime factorization of 4692 and 4700. The biggest common factor number is the GCF number.
So the greatest common factor 4692 and 4700 is 4.

Also check out the Least Common Multiple of 4692 and 4700

Properties of GCF 4692 and 4700

(i) The GCF of 4692 and 4700 is associative

GCF of 4692 and 4700 = GCF of 4700 and 4692

Related Greatest Common Factor of 4692

Related Greatest Common Factor of 4700

Frequently Asked Questions on GCF of 4692 and 4700

1. What is the GCF of 4692 and 4700?

Answer: GCF of 4692 and 4700 is 4.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

3. What are the Factors of 4700?

Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.

4. How to Find the GCF of 4692 and 4700?

Answer:

Greatest Common Factor of 4692 and 4700 = 4

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 4700

4700 = 2 x 2 x 5 x 5 x 47

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 4692 and 4700 is 4