Greatest Common Factor of 4698 and 4702

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 4698, 4702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4698 and 4702 is 2.

GCF(4698,4702) = 2

GCF of 4698 and 4702

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

GCF of:
and

Greatest Common Factor of 4698 and 4702

GCF of 4698 and 4702 is 2

Prime Factorization of 4698


2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 4698 are 2,3,29. Prime factorization of 4698 in exponential form is:

4698 = 21×34×291

Prime Factorization of 4702


2 4702
2351 2351
1

Prime factors of 4702 are 2,2351. Prime factorization of 4702 in exponential form is:

4702 = 21×23511

∴ So by taking common prime factors GCF of 4698 and 4702 is 2

Greatest Common Factor of 4698 and 4702 by matching factors method

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698

Factors of 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1,2,2351,4702

Greatest Common Factor

We found the factors and prime factorization of 4698 and 4702. The biggest common factor number is the GCF number.
So the greatest common factor 4698 and 4702 is 2.

Also check out the Least Common Multiple of 4698 and 4702

Properties of GCF 4698 and 4702

(i) The GCF of 4698 and 4702 is associative

GCF of 4698 and 4702 = GCF of 4702 and 4698

Related Greatest Common Factor of 4698

Related Greatest Common Factor of 4702

Frequently Asked Questions on GCF of 4698 and 4702

1. What is the GCF of 4698 and 4702?

Answer: GCF of 4698 and 4702 is 2.

2. What are the Factors of 4698?

Answer: Factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698. There are 20 integers that are factors of 4698. The greatest factor of 4698 is 4698.

3. What are the Factors of 4702?

Answer: Factors of 4702 are 1, 2, 2351, 4702. There are 4 integers that are factors of 4702. The greatest factor of 4702 is 4702.

4. How to Find the GCF of 4698 and 4702?

Answer:

Greatest Common Factor of 4698 and 4702 = 2

Step 1: Find the prime factorization of 4698

4698 = 2 x 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 4702

4702 = 2 x 2351

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 4698 and 4702 is 2