Greatest Common Factor of 4741 and 4747

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 4741, 4747 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4741 and 4747 is 1.

GCF(4741,4747) = 1

GCF of 4741 and 4747

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

GCF of:
and

Greatest Common Factor of 4741 and 4747

GCF of 4741 and 4747 is 1

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

Prime Factorization of 4747


47 4747
101 101
1

Prime factors of 4747 are 47,101. Prime factorization of 4747 in exponential form is:

4747 = 471×1011

∴ So by taking common prime factors GCF of 4741 and 4747 is 1

Greatest Common Factor of 4741 and 4747 by matching factors method

Factors of 4741

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

1,11,431,4741

Factors of 4747

List of positive integer factors of 4747 that divides 4747 without a remainder.

1,47,101,4747

Greatest Common Factor

We found the factors and prime factorization of 4741 and 4747. The biggest common factor number is the GCF number.
So the greatest common factor 4741 and 4747 is 1.

Also check out the Least Common Multiple of 4741 and 4747

Properties of GCF 4741 and 4747

(i) The GCF of 4741 and 4747 is associative

GCF of 4741 and 4747 = GCF of 4747 and 4741

Related Greatest Common Factor of 4741

Related Greatest Common Factor of 4747

Frequently Asked Questions on GCF of 4741 and 4747

1. What is the GCF of 4741 and 4747?

Answer: GCF of 4741 and 4747 is 1.

2. 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.

3. What are the Factors of 4747?

Answer: Factors of 4747 are 1, 47, 101, 4747. There are 4 integers that are factors of 4747. The greatest factor of 4747 is 4747.

4. How to Find the GCF of 4741 and 4747?

Answer:

Greatest Common Factor of 4741 and 4747 = 1

Step 1: Find the prime factorization of 4741

4741 = 11 x 431

Step 2: Find the prime factorization of 4747

4747 = 47 x 101

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 4741 and 4747 is 1