Greatest Common Factor of 4696 and 4698

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 4696, 4698 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4696 and 4698 is 2.

GCF(4696,4698) = 2

GCF of 4696 and 4698

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

GCF of:
and

Greatest Common Factor of 4696 and 4698

GCF of 4696 and 4698 is 2

Prime Factorization of 4696


2 4696
2 2348
2 1174
587 587
1

Prime factors of 4696 are 2,587. Prime factorization of 4696 in exponential form is:

4696 = 23×5871

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

∴ So by taking common prime factors GCF of 4696 and 4698 is 2

Greatest Common Factor of 4696 and 4698 by matching factors method

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

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

Greatest Common Factor

We found the factors and prime factorization of 4696 and 4698. The biggest common factor number is the GCF number.
So the greatest common factor 4696 and 4698 is 2.

Also check out the Least Common Multiple of 4696 and 4698

Properties of GCF 4696 and 4698

(i) The GCF of 4696 and 4698 is associative

GCF of 4696 and 4698 = GCF of 4698 and 4696

Related Greatest Common Factor of 4696

Related Greatest Common Factor of 4698

Frequently Asked Questions on GCF of 4696 and 4698

1. What is the GCF of 4696 and 4698?

Answer: GCF of 4696 and 4698 is 2.

2. What are the Factors of 4696?

Answer: Factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696. There are 8 integers that are factors of 4696. The greatest factor of 4696 is 4696.

3. 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.

4. How to Find the GCF of 4696 and 4698?

Answer:

Greatest Common Factor of 4696 and 4698 = 2

Step 1: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

Step 2: Find the prime factorization of 4698

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

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 4696 and 4698 is 2