Greatest Common Factor of 4735 and 4741

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 4735, 4741 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4735 and 4741 is 1.

GCF(4735,4741) = 1

GCF of 4735 and 4741

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

GCF of:
and

Greatest Common Factor of 4735 and 4741

GCF of 4735 and 4741 is 1

Prime Factorization of 4735


5 4735
947 947
1

Prime factors of 4735 are 5,947. Prime factorization of 4735 in exponential form is:

4735 = 51×9471

Prime Factorization of 4741


11 4741
431 431
1

Prime factors of 4741 are 11,431. Prime factorization of 4741 in exponential form is:

4741 = 111×4311

∴ So by taking common prime factors GCF of 4735 and 4741 is 1

Greatest Common Factor of 4735 and 4741 by matching factors method

Factors of 4735

List of positive integer factors of 4735 that divides 4735 without a remainder.

1,5,947,4735

Factors of 4741

List of positive integer factors of 4741 that divides 4741 without a remainder.

1,11,431,4741

Greatest Common Factor

We found the factors and prime factorization of 4735 and 4741. The biggest common factor number is the GCF number.
So the greatest common factor 4735 and 4741 is 1.

Also check out the Least Common Multiple of 4735 and 4741

Properties of GCF 4735 and 4741

(i) The GCF of 4735 and 4741 is associative

GCF of 4735 and 4741 = GCF of 4741 and 4735

Related Greatest Common Factor of 4735

Related Greatest Common Factor of 4741

Frequently Asked Questions on GCF of 4735 and 4741

1. What is the GCF of 4735 and 4741?

Answer: GCF of 4735 and 4741 is 1.

2. What are the Factors of 4735?

Answer: Factors of 4735 are 1, 5, 947, 4735. There are 4 integers that are factors of 4735. The greatest factor of 4735 is 4735.

3. What are the Factors of 4741?

Answer: Factors of 4741 are 1, 11, 431, 4741. There are 4 integers that are factors of 4741. The greatest factor of 4741 is 4741.

4. How to Find the GCF of 4735 and 4741?

Answer:

Greatest Common Factor of 4735 and 4741 = 1

Step 1: Find the prime factorization of 4735

4735 = 5 x 947

Step 2: Find the prime factorization of 4741

4741 = 11 x 431

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4735 and 4741 is 1