Greatest Common Factor of 8712 and 8718

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 8712, 8718 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8712 and 8718 is 6.

GCF(8712,8718) = 6

GCF of 8712 and 8718

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

GCF of:
and

Greatest Common Factor of 8712 and 8718

GCF of 8712 and 8718 is 6

Prime Factorization of 8712


2 8712
2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 8712 are 2,3,11. Prime factorization of 8712 in exponential form is:

8712 = 23×32×112

Prime Factorization of 8718


2 8718
3 4359
1453 1453
1

Prime factors of 8718 are 2,3,1453. Prime factorization of 8718 in exponential form is:

8718 = 21×31×14531

∴ So by taking common prime factors GCF of 8712 and 8718 is 6

Greatest Common Factor of 8712 and 8718 by matching factors method

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1,2,3,6,1453,2906,4359,8718

Greatest Common Factor

We found the factors and prime factorization of 8712 and 8718. The biggest common factor number is the GCF number.
So the greatest common factor 8712 and 8718 is 6.

Also check out the Least Common Multiple of 8712 and 8718

Properties of GCF 8712 and 8718

(i) The GCF of 8712 and 8718 is associative

GCF of 8712 and 8718 = GCF of 8718 and 8712

Related Greatest Common Factor of 8712

Related Greatest Common Factor of 8718

Frequently Asked Questions on GCF of 8712 and 8718

1. What is the GCF of 8712 and 8718?

Answer: GCF of 8712 and 8718 is 6.

2. What are the Factors of 8712?

Answer: Factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712. There are 36 integers that are factors of 8712. The greatest factor of 8712 is 8712.

3. What are the Factors of 8718?

Answer: Factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718. There are 8 integers that are factors of 8718. The greatest factor of 8718 is 8718.

4. How to Find the GCF of 8712 and 8718?

Answer:

Greatest Common Factor of 8712 and 8718 = 6

Step 1: Find the prime factorization of 8712

8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 8718

8718 = 2 x 3 x 1453

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 8712 and 8718 is 6