Greatest Common Factor of 8512 and 8519

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 8512, 8519 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8512 and 8519 is 7.

GCF(8512,8519) = 7

GCF of 8512 and 8519

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

GCF of:
and

Greatest Common Factor of 8512 and 8519

GCF of 8512 and 8519 is 7

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

Prime Factorization of 8519


7 8519
1217 1217
1

Prime factors of 8519 are 7,1217. Prime factorization of 8519 in exponential form is:

8519 = 71×12171

∴ So by taking common prime factors GCF of 8512 and 8519 is 7

Greatest Common Factor of 8512 and 8519 by matching factors method

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

Factors of 8519

List of positive integer factors of 8519 that divides 8519 without a remainder.

1,7,1217,8519

Greatest Common Factor

We found the factors and prime factorization of 8512 and 8519. The biggest common factor number is the GCF number.
So the greatest common factor 8512 and 8519 is 7.

Also check out the Least Common Multiple of 8512 and 8519

Properties of GCF 8512 and 8519

(i) The GCF of 8512 and 8519 is associative

GCF of 8512 and 8519 = GCF of 8519 and 8512

Related Greatest Common Factor of 8512

Related Greatest Common Factor of 8519

Frequently Asked Questions on GCF of 8512 and 8519

1. What is the GCF of 8512 and 8519?

Answer: GCF of 8512 and 8519 is 7.

2. 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.

3. What are the Factors of 8519?

Answer: Factors of 8519 are 1, 7, 1217, 8519. There are 4 integers that are factors of 8519. The greatest factor of 8519 is 8519.

4. How to Find the GCF of 8512 and 8519?

Answer:

Greatest Common Factor of 8512 and 8519 = 7

Step 1: Find the prime factorization of 8512

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

Step 2: Find the prime factorization of 8519

8519 = 7 x 1217

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8512 and 8519 is 7