Greatest Common Factor of 696 and 700

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 696, 700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 696 and 700 is 4.

GCF(696,700) = 4

GCF of 696 and 700

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

GCF of:
and

Greatest Common Factor of 696 and 700

GCF of 696 and 700 is 4

Prime Factorization of 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2,3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2,5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

∴ So by taking common prime factors GCF of 696 and 700 is 4

Greatest Common Factor of 696 and 700 by matching factors method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors and prime factorization of 696 and 700. The biggest common factor number is the GCF number.
So the greatest common factor 696 and 700 is 4.

Also check out the Least Common Multiple of 696 and 700

Properties of GCF 696 and 700

(i) The GCF of 696 and 700 is associative

GCF of 696 and 700 = GCF of 700 and 696

Related Greatest Common Factor of 696

Related Greatest Common Factor of 700

Frequently Asked Questions on GCF of 696 and 700

1. What is the GCF of 696 and 700?

Answer: GCF of 696 and 700 is 4.

2. What are the Factors of 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

3. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the GCF of 696 and 700?

Answer:

Greatest Common Factor of 696 and 700 = 4

Step 1: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 696 and 700 is 4