Greatest Common Factor of 4762 and 4768

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 4762, 4768 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4762 and 4768 is 2.

GCF(4762,4768) = 2

GCF of 4762 and 4768

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

GCF of:
and

Greatest Common Factor of 4762 and 4768

GCF of 4762 and 4768 is 2

Prime Factorization of 4762


2 4762
2381 2381
1

Prime factors of 4762 are 2,2381. Prime factorization of 4762 in exponential form is:

4762 = 21×23811

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

∴ So by taking common prime factors GCF of 4762 and 4768 is 2

Greatest Common Factor of 4762 and 4768 by matching factors method

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1,2,2381,4762

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

Greatest Common Factor

We found the factors and prime factorization of 4762 and 4768. The biggest common factor number is the GCF number.
So the greatest common factor 4762 and 4768 is 2.

Also check out the Least Common Multiple of 4762 and 4768

Properties of GCF 4762 and 4768

(i) The GCF of 4762 and 4768 is associative

GCF of 4762 and 4768 = GCF of 4768 and 4762

Related Greatest Common Factor of 4762

Related Greatest Common Factor of 4768

Frequently Asked Questions on GCF of 4762 and 4768

1. What is the GCF of 4762 and 4768?

Answer: GCF of 4762 and 4768 is 2.

2. What are the Factors of 4762?

Answer: Factors of 4762 are 1, 2, 2381, 4762. There are 4 integers that are factors of 4762. The greatest factor of 4762 is 4762.

3. 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.

4. How to Find the GCF of 4762 and 4768?

Answer:

Greatest Common Factor of 4762 and 4768 = 2

Step 1: Find the prime factorization of 4762

4762 = 2 x 2381

Step 2: Find the prime factorization of 4768

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4762 and 4768 is 2