Greatest Common Factor of 4688 and 4692

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 4688, 4692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4688 and 4692 is 4.

GCF(4688,4692) = 4

GCF of 4688 and 4692

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

GCF of:
and

Greatest Common Factor of 4688 and 4692

GCF of 4688 and 4692 is 4

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

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

∴ So by taking common prime factors GCF of 4688 and 4692 is 4

Greatest Common Factor of 4688 and 4692 by matching factors method

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1,2,4,8,16,293,586,1172,2344,4688

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

Greatest Common Factor

We found the factors and prime factorization of 4688 and 4692. The biggest common factor number is the GCF number.
So the greatest common factor 4688 and 4692 is 4.

Also check out the Least Common Multiple of 4688 and 4692

Properties of GCF 4688 and 4692

(i) The GCF of 4688 and 4692 is associative

GCF of 4688 and 4692 = GCF of 4692 and 4688

Related Greatest Common Factor of 4688

Related Greatest Common Factor of 4692

Frequently Asked Questions on GCF of 4688 and 4692

1. What is the GCF of 4688 and 4692?

Answer: GCF of 4688 and 4692 is 4.

2. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

3. 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.

4. How to Find the GCF of 4688 and 4692?

Answer:

Greatest Common Factor of 4688 and 4692 = 4

Step 1: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

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 4688 and 4692 is 4