Greatest Common Factor of 4690 and 4696

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 4690, 4696 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4690 and 4696 is 2.

GCF(4690,4696) = 2

GCF of 4690 and 4696

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

GCF of:
and

Greatest Common Factor of 4690 and 4696

GCF of 4690 and 4696 is 2

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

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

∴ So by taking common prime factors GCF of 4690 and 4696 is 2

Greatest Common Factor of 4690 and 4696 by matching factors method

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

Factors of 4696

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

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

Greatest Common Factor

We found the factors and prime factorization of 4690 and 4696. The biggest common factor number is the GCF number.
So the greatest common factor 4690 and 4696 is 2.

Also check out the Least Common Multiple of 4690 and 4696

Properties of GCF 4690 and 4696

(i) The GCF of 4690 and 4696 is associative

GCF of 4690 and 4696 = GCF of 4696 and 4690

Related Greatest Common Factor of 4690

Related Greatest Common Factor of 4696

Frequently Asked Questions on GCF of 4690 and 4696

1. What is the GCF of 4690 and 4696?

Answer: GCF of 4690 and 4696 is 2.

2. 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.

3. 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.

4. How to Find the GCF of 4690 and 4696?

Answer:

Greatest Common Factor of 4690 and 4696 = 2

Step 1: Find the prime factorization of 4690

4690 = 2 x 5 x 7 x 67

Step 2: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

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 4690 and 4696 is 2