Greatest Common Factor of 9608 and 9614

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 9608, 9614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9608 and 9614 is 2.

GCF(9608,9614) = 2

GCF of 9608 and 9614

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

GCF of:
and

Greatest Common Factor of 9608 and 9614

GCF of 9608 and 9614 is 2

Prime Factorization of 9608


2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 9608 are 2,1201. Prime factorization of 9608 in exponential form is:

9608 = 23×12011

Prime Factorization of 9614


2 9614
11 4807
19 437
23 23
1

Prime factors of 9614 are 2,11,19,23. Prime factorization of 9614 in exponential form is:

9614 = 21×111×191×231

∴ So by taking common prime factors GCF of 9608 and 9614 is 2

Greatest Common Factor of 9608 and 9614 by matching factors method

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614

Greatest Common Factor

We found the factors and prime factorization of 9608 and 9614. The biggest common factor number is the GCF number.
So the greatest common factor 9608 and 9614 is 2.

Also check out the Least Common Multiple of 9608 and 9614

Properties of GCF 9608 and 9614

(i) The GCF of 9608 and 9614 is associative

GCF of 9608 and 9614 = GCF of 9614 and 9608

Related Greatest Common Factor of 9608

Related Greatest Common Factor of 9614

Frequently Asked Questions on GCF of 9608 and 9614

1. What is the GCF of 9608 and 9614?

Answer: GCF of 9608 and 9614 is 2.

2. What are the Factors of 9608?

Answer: Factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608. There are 8 integers that are factors of 9608. The greatest factor of 9608 is 9608.

3. What are the Factors of 9614?

Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.

4. How to Find the GCF of 9608 and 9614?

Answer:

Greatest Common Factor of 9608 and 9614 = 2

Step 1: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

Step 2: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

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 9608 and 9614 is 2