Greatest Common Factor of 8509 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 8509, 8512 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8509 and 8512 is 1.

GCF(8509,8512) = 1

GCF of 8509 and 8512

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

GCF of:
and

Greatest Common Factor of 8509 and 8512

GCF of 8509 and 8512 is 1

Prime Factorization of 8509


67 8509
127 127
1

Prime factors of 8509 are 67,127. Prime factorization of 8509 in exponential form is:

8509 = 671×1271

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 8509 and 8512 is 1

Greatest Common Factor of 8509 and 8512 by matching factors method

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

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 8509 and 8512. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8512 is 1.

Also check out the Least Common Multiple of 8509 and 8512

Properties of GCF 8509 and 8512

(i) The GCF of 8509 and 8512 is associative

GCF of 8509 and 8512 = GCF of 8512 and 8509

Related Greatest Common Factor of 8509

Related Greatest Common Factor of 8512

Frequently Asked Questions on GCF of 8509 and 8512

1. What is the GCF of 8509 and 8512?

Answer: GCF of 8509 and 8512 is 1.

2. What are the Factors of 8509?

Answer: Factors of 8509 are 1, 67, 127, 8509. There are 4 integers that are factors of 8509. The greatest factor of 8509 is 8509.

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 8509 and 8512?

Answer:

Greatest Common Factor of 8509 and 8512 = 1

Step 1: Find the prime factorization of 8509

8509 = 67 x 127

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 = = 1

Step 4: Therefore, the greatest common factor of 8509 and 8512 is 1