Greatest Common Factor of 4680 and 4688

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 4680, 4688 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4680 and 4688 is 8.

GCF(4680,4688) = 8

GCF of 4680 and 4688

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

GCF of:
and

Greatest Common Factor of 4680 and 4688

GCF of 4680 and 4688 is 8

Prime Factorization of 4680


2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 4680 are 2,3,5,13. Prime factorization of 4680 in exponential form is:

4680 = 23×32×51×131

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

∴ So by taking common prime factors GCF of 4680 and 4688 is 8

Greatest Common Factor of 4680 and 4688 by matching factors method

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

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

Greatest Common Factor

We found the factors and prime factorization of 4680 and 4688. The biggest common factor number is the GCF number.
So the greatest common factor 4680 and 4688 is 8.

Also check out the Least Common Multiple of 4680 and 4688

Properties of GCF 4680 and 4688

(i) The GCF of 4680 and 4688 is associative

GCF of 4680 and 4688 = GCF of 4688 and 4680

Related Greatest Common Factor of 4680

Related Greatest Common Factor of 4688

Frequently Asked Questions on GCF of 4680 and 4688

1. What is the GCF of 4680 and 4688?

Answer: GCF of 4680 and 4688 is 8.

2. What are the Factors of 4680?

Answer: Factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680. There are 48 integers that are factors of 4680. The greatest factor of 4680 is 4680.

3. 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.

4. How to Find the GCF of 4680 and 4688?

Answer:

Greatest Common Factor of 4680 and 4688 = 8

Step 1: Find the prime factorization of 4680

4680 = 2 x 2 x 2 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4680 and 4688 is 8