Greatest Common Factor of 8709 and 8712

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 8709, 8712 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8709 and 8712 is 3.

GCF(8709,8712) = 3

GCF of 8709 and 8712

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

GCF of:
and

Greatest Common Factor of 8709 and 8712

GCF of 8709 and 8712 is 3

Prime Factorization of 8709


3 8709
2903 2903
1

Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:

8709 = 31×29031

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

∴ So by taking common prime factors GCF of 8709 and 8712 is 3

Greatest Common Factor of 8709 and 8712 by matching factors method

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1,3,2903,8709

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

Greatest Common Factor

We found the factors and prime factorization of 8709 and 8712. The biggest common factor number is the GCF number.
So the greatest common factor 8709 and 8712 is 3.

Also check out the Least Common Multiple of 8709 and 8712

Properties of GCF 8709 and 8712

(i) The GCF of 8709 and 8712 is associative

GCF of 8709 and 8712 = GCF of 8712 and 8709

Related Greatest Common Factor of 8709

Related Greatest Common Factor of 8712

Frequently Asked Questions on GCF of 8709 and 8712

1. What is the GCF of 8709 and 8712?

Answer: GCF of 8709 and 8712 is 3.

2. What are the Factors of 8709?

Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.

3. 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.

4. How to Find the GCF of 8709 and 8712?

Answer:

Greatest Common Factor of 8709 and 8712 = 3

Step 1: Find the prime factorization of 8709

8709 = 3 x 2903

Step 2: Find the prime factorization of 8712

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8709 and 8712 is 3