Greatest Common Factor of 8784 and 8792

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 8784, 8792 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8784 and 8792 is 8.

GCF(8784,8792) = 8

GCF of 8784 and 8792

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

GCF of:
and

Greatest Common Factor of 8784 and 8792

GCF of 8784 and 8792 is 8

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

Prime Factorization of 8792


2 8792
2 4396
2 2198
7 1099
157 157
1

Prime factors of 8792 are 2,7,157. Prime factorization of 8792 in exponential form is:

8792 = 23×71×1571

∴ So by taking common prime factors GCF of 8784 and 8792 is 8

Greatest Common Factor of 8784 and 8792 by matching factors method

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

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792

Greatest Common Factor

We found the factors and prime factorization of 8784 and 8792. The biggest common factor number is the GCF number.
So the greatest common factor 8784 and 8792 is 8.

Also check out the Least Common Multiple of 8784 and 8792

Properties of GCF 8784 and 8792

(i) The GCF of 8784 and 8792 is associative

GCF of 8784 and 8792 = GCF of 8792 and 8784

Related Greatest Common Factor of 8784

Related Greatest Common Factor of 8792

Frequently Asked Questions on GCF of 8784 and 8792

1. What is the GCF of 8784 and 8792?

Answer: GCF of 8784 and 8792 is 8.

2. 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.

3. What are the Factors of 8792?

Answer: Factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792. There are 16 integers that are factors of 8792. The greatest factor of 8792 is 8792.

4. How to Find the GCF of 8784 and 8792?

Answer:

Greatest Common Factor of 8784 and 8792 = 8

Step 1: Find the prime factorization of 8784

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

Step 2: Find the prime factorization of 8792

8792 = 2 x 2 x 2 x 7 x 157

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8784 and 8792 is 8