Greatest Common Factor of 4682 and 4690

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 4682, 4690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4682 and 4690 is 2.

GCF(4682,4690) = 2

GCF of 4682 and 4690

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

GCF of:
and

Greatest Common Factor of 4682 and 4690

GCF of 4682 and 4690 is 2

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

Prime Factorization of 4690


2 4690
5 2345
7 469
67 67
1

Prime factors of 4690 are 2,5,7,67. Prime factorization of 4690 in exponential form is:

4690 = 21×51×71×671

∴ So by taking common prime factors GCF of 4682 and 4690 is 2

Greatest Common Factor of 4682 and 4690 by matching factors method

Factors of 4682

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

1,2,2341,4682

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Greatest Common Factor

We found the factors and prime factorization of 4682 and 4690. The biggest common factor number is the GCF number.
So the greatest common factor 4682 and 4690 is 2.

Also check out the Least Common Multiple of 4682 and 4690

Properties of GCF 4682 and 4690

(i) The GCF of 4682 and 4690 is associative

GCF of 4682 and 4690 = GCF of 4690 and 4682

Related Greatest Common Factor of 4682

Related Greatest Common Factor of 4690

Frequently Asked Questions on GCF of 4682 and 4690

1. What is the GCF of 4682 and 4690?

Answer: GCF of 4682 and 4690 is 2.

2. 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.

3. What are the Factors of 4690?

Answer: Factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690. There are 16 integers that are factors of 4690. The greatest factor of 4690 is 4690.

4. How to Find the GCF of 4682 and 4690?

Answer:

Greatest Common Factor of 4682 and 4690 = 2

Step 1: Find the prime factorization of 4682

4682 = 2 x 2341

Step 2: Find the prime factorization of 4690

4690 = 2 x 5 x 7 x 67

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 4682 and 4690 is 2