Greatest Common Factor of 4695 and 4701

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 4695, 4701 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4695 and 4701 is 3.

GCF(4695,4701) = 3

GCF of 4695 and 4701

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

GCF of:
and

Greatest Common Factor of 4695 and 4701

GCF of 4695 and 4701 is 3

Prime Factorization of 4695


3 4695
5 1565
313 313
1

Prime factors of 4695 are 3,5,313. Prime factorization of 4695 in exponential form is:

4695 = 31×51×3131

Prime Factorization of 4701


3 4701
1567 1567
1

Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:

4701 = 31×15671

∴ So by taking common prime factors GCF of 4695 and 4701 is 3

Greatest Common Factor of 4695 and 4701 by matching factors method

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1,3,5,15,313,939,1565,4695

Factors of 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1,3,1567,4701

Greatest Common Factor

We found the factors and prime factorization of 4695 and 4701. The biggest common factor number is the GCF number.
So the greatest common factor 4695 and 4701 is 3.

Also check out the Least Common Multiple of 4695 and 4701

Properties of GCF 4695 and 4701

(i) The GCF of 4695 and 4701 is associative

GCF of 4695 and 4701 = GCF of 4701 and 4695

Related Greatest Common Factor of 4695

Related Greatest Common Factor of 4701

Frequently Asked Questions on GCF of 4695 and 4701

1. What is the GCF of 4695 and 4701?

Answer: GCF of 4695 and 4701 is 3.

2. What are the Factors of 4695?

Answer: Factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695. There are 8 integers that are factors of 4695. The greatest factor of 4695 is 4695.

3. What are the Factors of 4701?

Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.

4. How to Find the GCF of 4695 and 4701?

Answer:

Greatest Common Factor of 4695 and 4701 = 3

Step 1: Find the prime factorization of 4695

4695 = 3 x 5 x 313

Step 2: Find the prime factorization of 4701

4701 = 3 x 1567

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4695 and 4701 is 3