Greatest Common Factor of 4773 and 4777

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 4773, 4777 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4773 and 4777 is 1.

GCF(4773,4777) = 1

GCF of 4773 and 4777

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

GCF of:
and

Greatest Common Factor of 4773 and 4777

GCF of 4773 and 4777 is 1

Prime Factorization of 4773


3 4773
37 1591
43 43
1

Prime factors of 4773 are 3,37,43. Prime factorization of 4773 in exponential form is:

4773 = 31×371×431

Prime Factorization of 4777


17 4777
281 281
1

Prime factors of 4777 are 17,281. Prime factorization of 4777 in exponential form is:

4777 = 171×2811

∴ So by taking common prime factors GCF of 4773 and 4777 is 1

Greatest Common Factor of 4773 and 4777 by matching factors method

Factors of 4773

List of positive integer factors of 4773 that divides 4773 without a remainder.

1,3,37,43,111,129,1591,4773

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1,17,281,4777

Greatest Common Factor

We found the factors and prime factorization of 4773 and 4777. The biggest common factor number is the GCF number.
So the greatest common factor 4773 and 4777 is 1.

Also check out the Least Common Multiple of 4773 and 4777

Properties of GCF 4773 and 4777

(i) The GCF of 4773 and 4777 is associative

GCF of 4773 and 4777 = GCF of 4777 and 4773

Related Greatest Common Factor of 4773

Related Greatest Common Factor of 4777

Frequently Asked Questions on GCF of 4773 and 4777

1. What is the GCF of 4773 and 4777?

Answer: GCF of 4773 and 4777 is 1.

2. What are the Factors of 4773?

Answer: Factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773. There are 8 integers that are factors of 4773. The greatest factor of 4773 is 4773.

3. What are the Factors of 4777?

Answer: Factors of 4777 are 1, 17, 281, 4777. There are 4 integers that are factors of 4777. The greatest factor of 4777 is 4777.

4. How to Find the GCF of 4773 and 4777?

Answer:

Greatest Common Factor of 4773 and 4777 = 1

Step 1: Find the prime factorization of 4773

4773 = 3 x 37 x 43

Step 2: Find the prime factorization of 4777

4777 = 17 x 281

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 4773 and 4777 is 1