Greatest Common Factor of 9507 and 9514

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 9507, 9514 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9507 and 9514 is 1.

GCF(9507,9514) = 1

GCF of 9507 and 9514

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

GCF of:
and

Greatest Common Factor of 9507 and 9514

GCF of 9507 and 9514 is 1

Prime Factorization of 9507


3 9507
3169 3169
1

Prime factors of 9507 are 3,3169. Prime factorization of 9507 in exponential form is:

9507 = 31×31691

Prime Factorization of 9514


2 9514
67 4757
71 71
1

Prime factors of 9514 are 2,67,71. Prime factorization of 9514 in exponential form is:

9514 = 21×671×711

∴ So by taking common prime factors GCF of 9507 and 9514 is 1

Greatest Common Factor of 9507 and 9514 by matching factors method

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1,3,3169,9507

Factors of 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1,2,67,71,134,142,4757,9514

Greatest Common Factor

We found the factors and prime factorization of 9507 and 9514. The biggest common factor number is the GCF number.
So the greatest common factor 9507 and 9514 is 1.

Also check out the Least Common Multiple of 9507 and 9514

Properties of GCF 9507 and 9514

(i) The GCF of 9507 and 9514 is associative

GCF of 9507 and 9514 = GCF of 9514 and 9507

Related Greatest Common Factor of 9507

Related Greatest Common Factor of 9514

Frequently Asked Questions on GCF of 9507 and 9514

1. What is the GCF of 9507 and 9514?

Answer: GCF of 9507 and 9514 is 1.

2. What are the Factors of 9507?

Answer: Factors of 9507 are 1, 3, 3169, 9507. There are 4 integers that are factors of 9507. The greatest factor of 9507 is 9507.

3. What are the Factors of 9514?

Answer: Factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514. There are 8 integers that are factors of 9514. The greatest factor of 9514 is 9514.

4. How to Find the GCF of 9507 and 9514?

Answer:

Greatest Common Factor of 9507 and 9514 = 1

Step 1: Find the prime factorization of 9507

9507 = 3 x 3169

Step 2: Find the prime factorization of 9514

9514 = 2 x 67 x 71

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 9507 and 9514 is 1