Greatest Common Factor of 4722 and 4728

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 4722, 4728 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4722 and 4728 is 6.

GCF(4722,4728) = 6

GCF of 4722 and 4728

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

GCF of:
and

Greatest Common Factor of 4722 and 4728

GCF of 4722 and 4728 is 6

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

Prime Factorization of 4728


2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 4728 are 2,3,197. Prime factorization of 4728 in exponential form is:

4728 = 23×31×1971

∴ So by taking common prime factors GCF of 4722 and 4728 is 6

Greatest Common Factor of 4722 and 4728 by matching factors method

Factors of 4722

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

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

Factors of 4728

List of positive integer factors of 4728 that divides 4728 without a remainder.

1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728

Greatest Common Factor

We found the factors and prime factorization of 4722 and 4728. The biggest common factor number is the GCF number.
So the greatest common factor 4722 and 4728 is 6.

Also check out the Least Common Multiple of 4722 and 4728

Properties of GCF 4722 and 4728

(i) The GCF of 4722 and 4728 is associative

GCF of 4722 and 4728 = GCF of 4728 and 4722

Related Greatest Common Factor of 4722

Related Greatest Common Factor of 4728

Frequently Asked Questions on GCF of 4722 and 4728

1. What is the GCF of 4722 and 4728?

Answer: GCF of 4722 and 4728 is 6.

2. 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.

3. What are the Factors of 4728?

Answer: Factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728. There are 16 integers that are factors of 4728. The greatest factor of 4728 is 4728.

4. How to Find the GCF of 4722 and 4728?

Answer:

Greatest Common Factor of 4722 and 4728 = 6

Step 1: Find the prime factorization of 4722

4722 = 2 x 3 x 787

Step 2: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4722 and 4728 is 6