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 8507, 8514 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8507 and 8514 is 1.
GCF(8507,8514) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8507
47 | 8507 |
181 | 181 |
1 |
Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:
8507 = 471×1811
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 8507 and 8514 is 1
Factors of 8507
List of positive integer factors of 8507 that divides 8507 without a remainder.
1,47,181,8507
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 8507 and 8514. The biggest common factor number is the GCF number.
So the greatest common factor 8507 and 8514 is 1.
Also check out the Least Common Multiple of 8507 and 8514
(i) The GCF of 8507 and 8514 is associative
GCF of 8507 and 8514 = GCF of 8514 and 8507
1. What is the GCF of 8507 and 8514?
Answer: GCF of 8507 and 8514 is 1.
2. What are the Factors of 8507?
Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.
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 8507 and 8514?
Answer:
Greatest Common Factor of 8507 and 8514 = 1
Step 1: Find the prime factorization of 8507
8507 = 47 x 181
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 8507 and 8514 is 1