Greatest Common Factor of 9508 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 9508, 9514 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9508 and 9514 is 2.

GCF(9508,9514) = 2

GCF of 9508 and 9514

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

GCF of:
and

Greatest Common Factor of 9508 and 9514

GCF of 9508 and 9514 is 2

Prime Factorization of 9508


2 9508
2 4754
2377 2377
1

Prime factors of 9508 are 2,2377. Prime factorization of 9508 in exponential form is:

9508 = 22×23771

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 9508 and 9514 is 2

Greatest Common Factor of 9508 and 9514 by matching factors method

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

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 9508 and 9514. The biggest common factor number is the GCF number.
So the greatest common factor 9508 and 9514 is 2.

Also check out the Least Common Multiple of 9508 and 9514

Properties of GCF 9508 and 9514

(i) The GCF of 9508 and 9514 is associative

GCF of 9508 and 9514 = GCF of 9514 and 9508

Related Greatest Common Factor of 9508

Related Greatest Common Factor of 9514

Frequently Asked Questions on GCF of 9508 and 9514

1. What is the GCF of 9508 and 9514?

Answer: GCF of 9508 and 9514 is 2.

2. What are the Factors of 9508?

Answer: Factors of 9508 are 1, 2, 4, 2377, 4754, 9508. There are 6 integers that are factors of 9508. The greatest factor of 9508 is 9508.

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 9508 and 9514?

Answer:

Greatest Common Factor of 9508 and 9514 = 2

Step 1: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

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 = 2

Step 4: Therefore, the greatest common factor of 9508 and 9514 is 2