Greatest Common Factor of 4712 and 4718

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, 4718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4712 and 4718 is 2.

GCF(4712,4718) = 2

GCF of 4712 and 4718

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

GCF of:
and

Greatest Common Factor of 4712 and 4718

GCF of 4712 and 4718 is 2

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 4718


2 4718
7 2359
337 337
1

Prime factors of 4718 are 2,7,337. Prime factorization of 4718 in exponential form is:

4718 = 21×71×3371

∴ So by taking common prime factors GCF of 4712 and 4718 is 2

Greatest Common Factor of 4712 and 4718 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 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Greatest Common Factor

We found the factors and prime factorization of 4712 and 4718. The biggest common factor number is the GCF number.
So the greatest common factor 4712 and 4718 is 2.

Also check out the Least Common Multiple of 4712 and 4718

Properties of GCF 4712 and 4718

(i) The GCF of 4712 and 4718 is associative

GCF of 4712 and 4718 = GCF of 4718 and 4712

Related Greatest Common Factor of 4712

Related Greatest Common Factor of 4718

Frequently Asked Questions on GCF of 4712 and 4718

1. What is the GCF of 4712 and 4718?

Answer: GCF of 4712 and 4718 is 2.

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 4718?

Answer: Factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718. There are 8 integers that are factors of 4718. The greatest factor of 4718 is 4718.

4. How to Find the GCF of 4712 and 4718?

Answer:

Greatest Common Factor of 4712 and 4718 = 2

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 4718

4718 = 2 x 7 x 337

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 4712 and 4718 is 2