Greatest Common Factor of 8504 and 8512

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 8504, 8512 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8504 and 8512 is 8.

GCF(8504,8512) = 8

GCF of 8504 and 8512

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

GCF of:
and

Greatest Common Factor of 8504 and 8512

GCF of 8504 and 8512 is 8

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

Prime Factorization of 8512


2 8512
2 4256
2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 8512 are 2,7,19. Prime factorization of 8512 in exponential form is:

8512 = 26×71×191

∴ So by taking common prime factors GCF of 8504 and 8512 is 8

Greatest Common Factor of 8504 and 8512 by matching factors method

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512

Greatest Common Factor

We found the factors and prime factorization of 8504 and 8512. The biggest common factor number is the GCF number.
So the greatest common factor 8504 and 8512 is 8.

Also check out the Least Common Multiple of 8504 and 8512

Properties of GCF 8504 and 8512

(i) The GCF of 8504 and 8512 is associative

GCF of 8504 and 8512 = GCF of 8512 and 8504

Related Greatest Common Factor of 8504

Related Greatest Common Factor of 8512

Frequently Asked Questions on GCF of 8504 and 8512

1. What is the GCF of 8504 and 8512?

Answer: GCF of 8504 and 8512 is 8.

2. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

3. What are the Factors of 8512?

Answer: Factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512. There are 28 integers that are factors of 8512. The greatest factor of 8512 is 8512.

4. How to Find the GCF of 8504 and 8512?

Answer:

Greatest Common Factor of 8504 and 8512 = 8

Step 1: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

Step 2: Find the prime factorization of 8512

8512 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19

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 8504 and 8512 is 8