Greatest Common Factor of 8509 and 8514

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, 8514 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8509 and 8514 is 1.

GCF(8509,8514) = 1

GCF of 8509 and 8514

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

GCF of:
and

Greatest Common Factor of 8509 and 8514

GCF of 8509 and 8514 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 8514


2 8514
3 4257
3 1419
11 473
43 43
1

Prime factors of 8514 are 2,3,11,43. Prime factorization of 8514 in exponential form is:

8514 = 21×32×111×431

∴ So by taking common prime factors GCF of 8509 and 8514 is 1

Greatest Common Factor of 8509 and 8514 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 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514

Greatest Common Factor

We found the factors and prime factorization of 8509 and 8514. The biggest common factor number is the GCF number.
So the greatest common factor 8509 and 8514 is 1.

Also check out the Least Common Multiple of 8509 and 8514

Properties of GCF 8509 and 8514

(i) The GCF of 8509 and 8514 is associative

GCF of 8509 and 8514 = GCF of 8514 and 8509

Related Greatest Common Factor of 8509

Related Greatest Common Factor of 8514

Frequently Asked Questions on GCF of 8509 and 8514

1. What is the GCF of 8509 and 8514?

Answer: GCF of 8509 and 8514 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 8514?

Answer: Factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514. There are 24 integers that are factors of 8514. The greatest factor of 8514 is 8514.

4. How to Find the GCF of 8509 and 8514?

Answer:

Greatest Common Factor of 8509 and 8514 = 1

Step 1: Find the prime factorization of 8509

8509 = 67 x 127

Step 2: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

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 8514 is 1