Greatest Common Factor of 4674 and 4680

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 4674, 4680 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4674 and 4680 is 6.

GCF(4674,4680) = 6

GCF of 4674 and 4680

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

GCF of:
and

Greatest Common Factor of 4674 and 4680

GCF of 4674 and 4680 is 6

Prime Factorization of 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2,3,19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

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

∴ So by taking common prime factors GCF of 4674 and 4680 is 6

Greatest Common Factor of 4674 and 4680 by matching factors method

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674

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

Greatest Common Factor

We found the factors and prime factorization of 4674 and 4680. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4680 is 6.

Also check out the Least Common Multiple of 4674 and 4680

Properties of GCF 4674 and 4680

(i) The GCF of 4674 and 4680 is associative

GCF of 4674 and 4680 = GCF of 4680 and 4674

Related Greatest Common Factor of 4674

Related Greatest Common Factor of 4680

Frequently Asked Questions on GCF of 4674 and 4680

1. What is the GCF of 4674 and 4680?

Answer: GCF of 4674 and 4680 is 6.

2. What are the Factors of 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

3. 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.

4. How to Find the GCF of 4674 and 4680?

Answer:

Greatest Common Factor of 4674 and 4680 = 6

Step 1: Find the prime factorization of 4674

4674 = 2 x 3 x 19 x 41

Step 2: Find the prime factorization of 4680

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

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 4674 and 4680 is 6