Greatest Common Factor of 5696 and 5700

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 5696, 5700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5696 and 5700 is 4.

GCF(5696,5700) = 4

GCF of 5696 and 5700

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

GCF of:
and

Greatest Common Factor of 5696 and 5700

GCF of 5696 and 5700 is 4

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

Prime Factorization of 5700


2 5700
2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 5700 are 2,3,5,19. Prime factorization of 5700 in exponential form is:

5700 = 22×31×52×191

∴ So by taking common prime factors GCF of 5696 and 5700 is 4

Greatest Common Factor of 5696 and 5700 by matching factors method

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Factors of 5700

List of positive integer factors of 5700 that divides 5700 without a remainder.

1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700

Greatest Common Factor

We found the factors and prime factorization of 5696 and 5700. The biggest common factor number is the GCF number.
So the greatest common factor 5696 and 5700 is 4.

Also check out the Least Common Multiple of 5696 and 5700

Properties of GCF 5696 and 5700

(i) The GCF of 5696 and 5700 is associative

GCF of 5696 and 5700 = GCF of 5700 and 5696

Related Greatest Common Factor of 5696

Related Greatest Common Factor of 5700

Frequently Asked Questions on GCF of 5696 and 5700

1. What is the GCF of 5696 and 5700?

Answer: GCF of 5696 and 5700 is 4.

2. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

3. What are the Factors of 5700?

Answer: Factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700. There are 36 integers that are factors of 5700. The greatest factor of 5700 is 5700.

4. How to Find the GCF of 5696 and 5700?

Answer:

Greatest Common Factor of 5696 and 5700 = 4

Step 1: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 5700

5700 = 2 x 2 x 3 x 5 x 5 x 19

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 5696 and 5700 is 4