Greatest Common Factor of 4680 and 4686

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, 4686 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4680 and 4686 is 6.

GCF(4680,4686) = 6

GCF of 4680 and 4686

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

GCF of:
and

Greatest Common Factor of 4680 and 4686

GCF of 4680 and 4686 is 6

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 4686


2 4686
3 2343
11 781
71 71
1

Prime factors of 4686 are 2,3,11,71. Prime factorization of 4686 in exponential form is:

4686 = 21×31×111×711

∴ So by taking common prime factors GCF of 4680 and 4686 is 6

Greatest Common Factor of 4680 and 4686 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 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Greatest Common Factor

We found the factors and prime factorization of 4680 and 4686. The biggest common factor number is the GCF number.
So the greatest common factor 4680 and 4686 is 6.

Also check out the Least Common Multiple of 4680 and 4686

Properties of GCF 4680 and 4686

(i) The GCF of 4680 and 4686 is associative

GCF of 4680 and 4686 = GCF of 4686 and 4680

Related Greatest Common Factor of 4680

Related Greatest Common Factor of 4686

Frequently Asked Questions on GCF of 4680 and 4686

1. What is the GCF of 4680 and 4686?

Answer: GCF of 4680 and 4686 is 6.

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 4686?

Answer: Factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686. There are 16 integers that are factors of 4686. The greatest factor of 4686 is 4686.

4. How to Find the GCF of 4680 and 4686?

Answer:

Greatest Common Factor of 4680 and 4686 = 6

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 4686

4686 = 2 x 3 x 11 x 71

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4680 and 4686 is 6