Greatest Common Factor of 4763 and 4770

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 4763, 4770 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4763 and 4770 is 1.

GCF(4763,4770) = 1

GCF of 4763 and 4770

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

GCF of:
and

Greatest Common Factor of 4763 and 4770

GCF of 4763 and 4770 is 1

Prime Factorization of 4763


11 4763
433 433
1

Prime factors of 4763 are 11,433. Prime factorization of 4763 in exponential form is:

4763 = 111×4331

Prime Factorization of 4770


2 4770
3 2385
3 795
5 265
53 53
1

Prime factors of 4770 are 2,3,5,53. Prime factorization of 4770 in exponential form is:

4770 = 21×32×51×531

∴ So by taking common prime factors GCF of 4763 and 4770 is 1

Greatest Common Factor of 4763 and 4770 by matching factors method

Factors of 4763

List of positive integer factors of 4763 that divides 4763 without a remainder.

1,11,433,4763

Factors of 4770

List of positive integer factors of 4770 that divides 4770 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770

Greatest Common Factor

We found the factors and prime factorization of 4763 and 4770. The biggest common factor number is the GCF number.
So the greatest common factor 4763 and 4770 is 1.

Also check out the Least Common Multiple of 4763 and 4770

Properties of GCF 4763 and 4770

(i) The GCF of 4763 and 4770 is associative

GCF of 4763 and 4770 = GCF of 4770 and 4763

Related Greatest Common Factor of 4763

Related Greatest Common Factor of 4770

Frequently Asked Questions on GCF of 4763 and 4770

1. What is the GCF of 4763 and 4770?

Answer: GCF of 4763 and 4770 is 1.

2. What are the Factors of 4763?

Answer: Factors of 4763 are 1, 11, 433, 4763. There are 4 integers that are factors of 4763. The greatest factor of 4763 is 4763.

3. What are the Factors of 4770?

Answer: Factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770. There are 24 integers that are factors of 4770. The greatest factor of 4770 is 4770.

4. How to Find the GCF of 4763 and 4770?

Answer:

Greatest Common Factor of 4763 and 4770 = 1

Step 1: Find the prime factorization of 4763

4763 = 11 x 433

Step 2: Find the prime factorization of 4770

4770 = 2 x 3 x 3 x 5 x 53

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 4763 and 4770 is 1