Greatest Common Factor of 4719 and 4722

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 4719, 4722 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4719 and 4722 is 3.

GCF(4719,4722) = 3

GCF of 4719 and 4722

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

GCF of:
and

Greatest Common Factor of 4719 and 4722

GCF of 4719 and 4722 is 3

Prime Factorization of 4719


3 4719
11 1573
11 143
13 13
1

Prime factors of 4719 are 3,11,13. Prime factorization of 4719 in exponential form is:

4719 = 31×112×131

Prime Factorization of 4722


2 4722
3 2361
787 787
1

Prime factors of 4722 are 2,3,787. Prime factorization of 4722 in exponential form is:

4722 = 21×31×7871

∴ So by taking common prime factors GCF of 4719 and 4722 is 3

Greatest Common Factor of 4719 and 4722 by matching factors method

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1,3,11,13,33,39,121,143,363,429,1573,4719

Factors of 4722

List of positive integer factors of 4722 that divides 4722 without a remainder.

1,2,3,6,787,1574,2361,4722

Greatest Common Factor

We found the factors and prime factorization of 4719 and 4722. The biggest common factor number is the GCF number.
So the greatest common factor 4719 and 4722 is 3.

Also check out the Least Common Multiple of 4719 and 4722

Properties of GCF 4719 and 4722

(i) The GCF of 4719 and 4722 is associative

GCF of 4719 and 4722 = GCF of 4722 and 4719

Related Greatest Common Factor of 4719

Related Greatest Common Factor of 4722

Frequently Asked Questions on GCF of 4719 and 4722

1. What is the GCF of 4719 and 4722?

Answer: GCF of 4719 and 4722 is 3.

2. What are the Factors of 4719?

Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.

3. What are the Factors of 4722?

Answer: Factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722. There are 8 integers that are factors of 4722. The greatest factor of 4722 is 4722.

4. How to Find the GCF of 4719 and 4722?

Answer:

Greatest Common Factor of 4719 and 4722 = 3

Step 1: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

Step 2: Find the prime factorization of 4722

4722 = 2 x 3 x 787

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 4719 and 4722 is 3