Greatest Common Factor of 9614 and 9618

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 9614, 9618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9614 and 9618 is 2.

GCF(9614,9618) = 2

GCF of 9614 and 9618

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

GCF of:
and

Greatest Common Factor of 9614 and 9618

GCF of 9614 and 9618 is 2

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

Prime Factorization of 9618


2 9618
3 4809
7 1603
229 229
1

Prime factors of 9618 are 2,3,7,229. Prime factorization of 9618 in exponential form is:

9618 = 21×31×71×2291

∴ So by taking common prime factors GCF of 9614 and 9618 is 2

Greatest Common Factor of 9614 and 9618 by matching factors method

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

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

Greatest Common Factor

We found the factors and prime factorization of 9614 and 9618. The biggest common factor number is the GCF number.
So the greatest common factor 9614 and 9618 is 2.

Also check out the Least Common Multiple of 9614 and 9618

Properties of GCF 9614 and 9618

(i) The GCF of 9614 and 9618 is associative

GCF of 9614 and 9618 = GCF of 9618 and 9614

Related Greatest Common Factor of 9614

Related Greatest Common Factor of 9618

Frequently Asked Questions on GCF of 9614 and 9618

1. What is the GCF of 9614 and 9618?

Answer: GCF of 9614 and 9618 is 2.

2. 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.

3. What are the Factors of 9618?

Answer: Factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618. There are 16 integers that are factors of 9618. The greatest factor of 9618 is 9618.

4. How to Find the GCF of 9614 and 9618?

Answer:

Greatest Common Factor of 9614 and 9618 = 2

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9618

9618 = 2 x 3 x 7 x 229

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 9614 and 9618 is 2