Greatest Common Factor of 4745 and 4750

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 4745, 4750 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4745 and 4750 is 5.

GCF(4745,4750) = 5

GCF of 4745 and 4750

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

GCF of:
and

Greatest Common Factor of 4745 and 4750

GCF of 4745 and 4750 is 5

Prime Factorization of 4745


5 4745
13 949
73 73
1

Prime factors of 4745 are 5,13,73. Prime factorization of 4745 in exponential form is:

4745 = 51×131×731

Prime Factorization of 4750


2 4750
5 2375
5 475
5 95
19 19
1

Prime factors of 4750 are 2,5,19. Prime factorization of 4750 in exponential form is:

4750 = 21×53×191

∴ So by taking common prime factors GCF of 4745 and 4750 is 5

Greatest Common Factor of 4745 and 4750 by matching factors method

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Factors of 4750

List of positive integer factors of 4750 that divides 4750 without a remainder.

1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750

Greatest Common Factor

We found the factors and prime factorization of 4745 and 4750. The biggest common factor number is the GCF number.
So the greatest common factor 4745 and 4750 is 5.

Also check out the Least Common Multiple of 4745 and 4750

Properties of GCF 4745 and 4750

(i) The GCF of 4745 and 4750 is associative

GCF of 4745 and 4750 = GCF of 4750 and 4745

Related Greatest Common Factor of 4745

Related Greatest Common Factor of 4750

Frequently Asked Questions on GCF of 4745 and 4750

1. What is the GCF of 4745 and 4750?

Answer: GCF of 4745 and 4750 is 5.

2. What are the Factors of 4745?

Answer: Factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745. There are 8 integers that are factors of 4745. The greatest factor of 4745 is 4745.

3. What are the Factors of 4750?

Answer: Factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750. There are 16 integers that are factors of 4750. The greatest factor of 4750 is 4750.

4. How to Find the GCF of 4745 and 4750?

Answer:

Greatest Common Factor of 4745 and 4750 = 5

Step 1: Find the prime factorization of 4745

4745 = 5 x 13 x 73

Step 2: Find the prime factorization of 4750

4750 = 2 x 5 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 = 5

Step 4: Therefore, the greatest common factor of 4745 and 4750 is 5