Greatest Common Factor of 4766 and 4772

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 4766, 4772 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4766 and 4772 is 2.

GCF(4766,4772) = 2

GCF of 4766 and 4772

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

GCF of:
and

Greatest Common Factor of 4766 and 4772

GCF of 4766 and 4772 is 2

Prime Factorization of 4766


2 4766
2383 2383
1

Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:

4766 = 21×23831

Prime Factorization of 4772


2 4772
2 2386
1193 1193
1

Prime factors of 4772 are 2,1193. Prime factorization of 4772 in exponential form is:

4772 = 22×11931

∴ So by taking common prime factors GCF of 4766 and 4772 is 2

Greatest Common Factor of 4766 and 4772 by matching factors method

Factors of 4766

List of positive integer factors of 4766 that divides 4766 without a remainder.

1,2,2383,4766

Factors of 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1,2,4,1193,2386,4772

Greatest Common Factor

We found the factors and prime factorization of 4766 and 4772. The biggest common factor number is the GCF number.
So the greatest common factor 4766 and 4772 is 2.

Also check out the Least Common Multiple of 4766 and 4772

Properties of GCF 4766 and 4772

(i) The GCF of 4766 and 4772 is associative

GCF of 4766 and 4772 = GCF of 4772 and 4766

Related Greatest Common Factor of 4766

Related Greatest Common Factor of 4772

Frequently Asked Questions on GCF of 4766 and 4772

1. What is the GCF of 4766 and 4772?

Answer: GCF of 4766 and 4772 is 2.

2. What are the Factors of 4766?

Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.

3. What are the Factors of 4772?

Answer: Factors of 4772 are 1, 2, 4, 1193, 2386, 4772. There are 6 integers that are factors of 4772. The greatest factor of 4772 is 4772.

4. How to Find the GCF of 4766 and 4772?

Answer:

Greatest Common Factor of 4766 and 4772 = 2

Step 1: Find the prime factorization of 4766

4766 = 2 x 2383

Step 2: Find the prime factorization of 4772

4772 = 2 x 2 x 1193

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 4766 and 4772 is 2