Greatest Common Factor of 8782 and 8784

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 8782, 8784 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8782 and 8784 is 2.

GCF(8782,8784) = 2

GCF of 8782 and 8784

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

GCF of:
and

Greatest Common Factor of 8782 and 8784

GCF of 8782 and 8784 is 2

Prime Factorization of 8782


2 8782
4391 4391
1

Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:

8782 = 21×43911

Prime Factorization of 8784


2 8784
2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 8784 are 2,3,61. Prime factorization of 8784 in exponential form is:

8784 = 24×32×611

∴ So by taking common prime factors GCF of 8782 and 8784 is 2

Greatest Common Factor of 8782 and 8784 by matching factors method

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1,2,4391,8782

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Greatest Common Factor

We found the factors and prime factorization of 8782 and 8784. The biggest common factor number is the GCF number.
So the greatest common factor 8782 and 8784 is 2.

Also check out the Least Common Multiple of 8782 and 8784

Properties of GCF 8782 and 8784

(i) The GCF of 8782 and 8784 is associative

GCF of 8782 and 8784 = GCF of 8784 and 8782

Related Greatest Common Factor of 8782

Related Greatest Common Factor of 8784

Frequently Asked Questions on GCF of 8782 and 8784

1. What is the GCF of 8782 and 8784?

Answer: GCF of 8782 and 8784 is 2.

2. What are the Factors of 8782?

Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.

3. What are the Factors of 8784?

Answer: Factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784. There are 30 integers that are factors of 8784. The greatest factor of 8784 is 8784.

4. How to Find the GCF of 8782 and 8784?

Answer:

Greatest Common Factor of 8782 and 8784 = 2

Step 1: Find the prime factorization of 8782

8782 = 2 x 4391

Step 2: Find the prime factorization of 8784

8784 = 2 x 2 x 2 x 2 x 3 x 3 x 61

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 8782 and 8784 is 2