Greatest Common Factor of 8712 and 8715

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, 8715 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8712 and 8715 is 3.

GCF(8712,8715) = 3

GCF of 8712 and 8715

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

GCF of:
and

Greatest Common Factor of 8712 and 8715

GCF of 8712 and 8715 is 3

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 8715


3 8715
5 2905
7 581
83 83
1

Prime factors of 8715 are 3,5,7,83. Prime factorization of 8715 in exponential form is:

8715 = 31×51×71×831

∴ So by taking common prime factors GCF of 8712 and 8715 is 3

Greatest Common Factor of 8712 and 8715 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 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715

Greatest Common Factor

We found the factors and prime factorization of 8712 and 8715. The biggest common factor number is the GCF number.
So the greatest common factor 8712 and 8715 is 3.

Also check out the Least Common Multiple of 8712 and 8715

Properties of GCF 8712 and 8715

(i) The GCF of 8712 and 8715 is associative

GCF of 8712 and 8715 = GCF of 8715 and 8712

Related Greatest Common Factor of 8712

Related Greatest Common Factor of 8715

Frequently Asked Questions on GCF of 8712 and 8715

1. What is the GCF of 8712 and 8715?

Answer: GCF of 8712 and 8715 is 3.

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 8715?

Answer: Factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715. There are 16 integers that are factors of 8715. The greatest factor of 8715 is 8715.

4. How to Find the GCF of 8712 and 8715?

Answer:

Greatest Common Factor of 8712 and 8715 = 3

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 8715

8715 = 3 x 5 x 7 x 83

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 8712 and 8715 is 3