Greatest Common Factor of 4712 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 4712, 4720 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4712 and 4720 is 8.

GCF(4712,4720) = 8

GCF of 4712 and 4720

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

GCF of:
and

Greatest Common Factor of 4712 and 4720

GCF of 4712 and 4720 is 8

Prime Factorization of 4712


2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 4712 are 2,19,31. Prime factorization of 4712 in exponential form is:

4712 = 23×191×311

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 4712 and 4720 is 8

Greatest Common Factor of 4712 and 4720 by matching factors method

Factors of 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712

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 4712 and 4720. The biggest common factor number is the GCF number.
So the greatest common factor 4712 and 4720 is 8.

Also check out the Least Common Multiple of 4712 and 4720

Properties of GCF 4712 and 4720

(i) The GCF of 4712 and 4720 is associative

GCF of 4712 and 4720 = GCF of 4720 and 4712

Related Greatest Common Factor of 4712

Related Greatest Common Factor of 4720

Frequently Asked Questions on GCF of 4712 and 4720

1. What is the GCF of 4712 and 4720?

Answer: GCF of 4712 and 4720 is 8.

2. What are the Factors of 4712?

Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.

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 4712 and 4720?

Answer:

Greatest Common Factor of 4712 and 4720 = 8

Step 1: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4712 and 4720 is 8