Greatest Common Factor of 8568 and 8574

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 8568, 8574 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8568 and 8574 is 6.

GCF(8568,8574) = 6

GCF of 8568 and 8574

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

GCF of:
and

Greatest Common Factor of 8568 and 8574

GCF of 8568 and 8574 is 6

Prime Factorization of 8568


2 8568
2 4284
2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 8568 are 2,3,7,17. Prime factorization of 8568 in exponential form is:

8568 = 23×32×71×171

Prime Factorization of 8574


2 8574
3 4287
1429 1429
1

Prime factors of 8574 are 2,3,1429. Prime factorization of 8574 in exponential form is:

8574 = 21×31×14291

∴ So by taking common prime factors GCF of 8568 and 8574 is 6

Greatest Common Factor of 8568 and 8574 by matching factors method

Factors of 8568

List of positive integer factors of 8568 that divides 8568 without a remainder.

1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Greatest Common Factor

We found the factors and prime factorization of 8568 and 8574. The biggest common factor number is the GCF number.
So the greatest common factor 8568 and 8574 is 6.

Also check out the Least Common Multiple of 8568 and 8574

Properties of GCF 8568 and 8574

(i) The GCF of 8568 and 8574 is associative

GCF of 8568 and 8574 = GCF of 8574 and 8568

Related Greatest Common Factor of 8568

Related Greatest Common Factor of 8574

Frequently Asked Questions on GCF of 8568 and 8574

1. What is the GCF of 8568 and 8574?

Answer: GCF of 8568 and 8574 is 6.

2. What are the Factors of 8568?

Answer: Factors of 8568 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 306, 357, 408, 476, 504, 612, 714, 952, 1071, 1224, 1428, 2142, 2856, 4284, 8568. There are 48 integers that are factors of 8568. The greatest factor of 8568 is 8568.

3. What are the Factors of 8574?

Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.

4. How to Find the GCF of 8568 and 8574?

Answer:

Greatest Common Factor of 8568 and 8574 = 6

Step 1: Find the prime factorization of 8568

8568 = 2 x 2 x 2 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

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 8568 and 8574 is 6