Greatest Common Factor of 4714 and 4720

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 4714, 4720 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4714 and 4720 is 2.

GCF(4714,4720) = 2

GCF of 4714 and 4720

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

GCF of:
and

Greatest Common Factor of 4714 and 4720

GCF of 4714 and 4720 is 2

Prime Factorization of 4714


2 4714
2357 2357
1

Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:

4714 = 21×23571

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2,5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

∴ So by taking common prime factors GCF of 4714 and 4720 is 2

Greatest Common Factor of 4714 and 4720 by matching factors method

Factors of 4714

List of positive integer factors of 4714 that divides 4714 without a remainder.

1,2,2357,4714

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors and prime factorization of 4714 and 4720. The biggest common factor number is the GCF number.
So the greatest common factor 4714 and 4720 is 2.

Also check out the Least Common Multiple of 4714 and 4720

Properties of GCF 4714 and 4720

(i) The GCF of 4714 and 4720 is associative

GCF of 4714 and 4720 = GCF of 4720 and 4714

Related Greatest Common Factor of 4714

Related Greatest Common Factor of 4720

Frequently Asked Questions on GCF of 4714 and 4720

1. What is the GCF of 4714 and 4720?

Answer: GCF of 4714 and 4720 is 2.

2. What are the Factors of 4714?

Answer: Factors of 4714 are 1, 2, 2357, 4714. There are 4 integers that are factors of 4714. The greatest factor of 4714 is 4714.

3. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

4. How to Find the GCF of 4714 and 4720?

Answer:

Greatest Common Factor of 4714 and 4720 = 2

Step 1: Find the prime factorization of 4714

4714 = 2 x 2357

Step 2: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4714 and 4720 is 2