Greatest Common Factor of 4768 and 4771

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 4768, 4771 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4768 and 4771 is 1.

GCF(4768,4771) = 1

GCF of 4768 and 4771

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

GCF of:
and

Greatest Common Factor of 4768 and 4771

GCF of 4768 and 4771 is 1

Prime Factorization of 4768


2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:

4768 = 25×1491

Prime Factorization of 4771


13 4771
367 367
1

Prime factors of 4771 are 13,367. Prime factorization of 4771 in exponential form is:

4771 = 131×3671

∴ So by taking common prime factors GCF of 4768 and 4771 is 1

Greatest Common Factor of 4768 and 4771 by matching factors method

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1,2,4,8,16,32,149,298,596,1192,2384,4768

Factors of 4771

List of positive integer factors of 4771 that divides 4771 without a remainder.

1,13,367,4771

Greatest Common Factor

We found the factors and prime factorization of 4768 and 4771. The biggest common factor number is the GCF number.
So the greatest common factor 4768 and 4771 is 1.

Also check out the Least Common Multiple of 4768 and 4771

Properties of GCF 4768 and 4771

(i) The GCF of 4768 and 4771 is associative

GCF of 4768 and 4771 = GCF of 4771 and 4768

Related Greatest Common Factor of 4768

Related Greatest Common Factor of 4771

Frequently Asked Questions on GCF of 4768 and 4771

1. What is the GCF of 4768 and 4771?

Answer: GCF of 4768 and 4771 is 1.

2. What are the Factors of 4768?

Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.

3. What are the Factors of 4771?

Answer: Factors of 4771 are 1, 13, 367, 4771. There are 4 integers that are factors of 4771. The greatest factor of 4771 is 4771.

4. How to Find the GCF of 4768 and 4771?

Answer:

Greatest Common Factor of 4768 and 4771 = 1

Step 1: Find the prime factorization of 4768

4768 = 2 x 2 x 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 4771

4771 = 13 x 367

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 4768 and 4771 is 1