Greatest Common Factor of 4740 and 4745

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 4740, 4745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4740 and 4745 is 5.

GCF(4740,4745) = 5

GCF of 4740 and 4745

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

GCF of:
and

Greatest Common Factor of 4740 and 4745

GCF of 4740 and 4745 is 5

Prime Factorization of 4740


2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 4740 are 2,3,5,79. Prime factorization of 4740 in exponential form is:

4740 = 22×31×51×791

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

∴ So by taking common prime factors GCF of 4740 and 4745 is 5

Greatest Common Factor of 4740 and 4745 by matching factors method

Factors of 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740

Factors of 4745

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

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

Greatest Common Factor

We found the factors and prime factorization of 4740 and 4745. The biggest common factor number is the GCF number.
So the greatest common factor 4740 and 4745 is 5.

Also check out the Least Common Multiple of 4740 and 4745

Properties of GCF 4740 and 4745

(i) The GCF of 4740 and 4745 is associative

GCF of 4740 and 4745 = GCF of 4745 and 4740

Related Greatest Common Factor of 4740

Related Greatest Common Factor of 4745

Frequently Asked Questions on GCF of 4740 and 4745

1. What is the GCF of 4740 and 4745?

Answer: GCF of 4740 and 4745 is 5.

2. What are the Factors of 4740?

Answer: Factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740. There are 24 integers that are factors of 4740. The greatest factor of 4740 is 4740.

3. 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.

4. How to Find the GCF of 4740 and 4745?

Answer:

Greatest Common Factor of 4740 and 4745 = 5

Step 1: Find the prime factorization of 4740

4740 = 2 x 2 x 3 x 5 x 79

Step 2: Find the prime factorization of 4745

4745 = 5 x 13 x 73

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 4740 and 4745 is 5