Greatest Common Factor of 4674 and 4682

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, 4682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4674 and 4682 is 2.

GCF(4674,4682) = 2

GCF of 4674 and 4682

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

GCF of:
and

Greatest Common Factor of 4674 and 4682

GCF of 4674 and 4682 is 2

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 4682


2 4682
2341 2341
1

Prime factors of 4682 are 2,2341. Prime factorization of 4682 in exponential form is:

4682 = 21×23411

∴ So by taking common prime factors GCF of 4674 and 4682 is 2

Greatest Common Factor of 4674 and 4682 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 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1,2,2341,4682

Greatest Common Factor

We found the factors and prime factorization of 4674 and 4682. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4682 is 2.

Also check out the Least Common Multiple of 4674 and 4682

Properties of GCF 4674 and 4682

(i) The GCF of 4674 and 4682 is associative

GCF of 4674 and 4682 = GCF of 4682 and 4674

Related Greatest Common Factor of 4674

Related Greatest Common Factor of 4682

Frequently Asked Questions on GCF of 4674 and 4682

1. What is the GCF of 4674 and 4682?

Answer: GCF of 4674 and 4682 is 2.

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 4682?

Answer: Factors of 4682 are 1, 2, 2341, 4682. There are 4 integers that are factors of 4682. The greatest factor of 4682 is 4682.

4. How to Find the GCF of 4674 and 4682?

Answer:

Greatest Common Factor of 4674 and 4682 = 2

Step 1: Find the prime factorization of 4674

4674 = 2 x 3 x 19 x 41

Step 2: Find the prime factorization of 4682

4682 = 2 x 2341

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4674 and 4682 is 2