Greatest Common Factor of 5692 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 5692, 5700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5692 and 5700 is 4.

GCF(5692,5700) = 4

GCF of 5692 and 5700

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

GCF of:
and

Greatest Common Factor of 5692 and 5700

GCF of 5692 and 5700 is 4

Prime Factorization of 5692


2 5692
2 2846
1423 1423
1

Prime factors of 5692 are 2,1423. Prime factorization of 5692 in exponential form is:

5692 = 22×14231

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 5692 and 5700 is 4

Greatest Common Factor of 5692 and 5700 by matching factors method

Factors of 5692

List of positive integer factors of 5692 that divides 5692 without a remainder.

1,2,4,1423,2846,5692

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 5692 and 5700. The biggest common factor number is the GCF number.
So the greatest common factor 5692 and 5700 is 4.

Also check out the Least Common Multiple of 5692 and 5700

Properties of GCF 5692 and 5700

(i) The GCF of 5692 and 5700 is associative

GCF of 5692 and 5700 = GCF of 5700 and 5692

Related Greatest Common Factor of 5692

Related Greatest Common Factor of 5700

Frequently Asked Questions on GCF of 5692 and 5700

1. What is the GCF of 5692 and 5700?

Answer: GCF of 5692 and 5700 is 4.

2. What are the Factors of 5692?

Answer: Factors of 5692 are 1, 2, 4, 1423, 2846, 5692. There are 6 integers that are factors of 5692. The greatest factor of 5692 is 5692.

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 5692 and 5700?

Answer:

Greatest Common Factor of 5692 and 5700 = 4

Step 1: Find the prime factorization of 5692

5692 = 2 x 2 x 1423

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 5692 and 5700 is 4