Greatest Common Factor of 9614 and 9616

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, 9616 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9614 and 9616 is 2.

GCF(9614,9616) = 2

GCF of 9614 and 9616

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

GCF of:
and

Greatest Common Factor of 9614 and 9616

GCF of 9614 and 9616 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 9616


2 9616
2 4808
2 2404
2 1202
601 601
1

Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:

9616 = 24×6011

∴ So by taking common prime factors GCF of 9614 and 9616 is 2

Greatest Common Factor of 9614 and 9616 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 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

Greatest Common Factor

We found the factors and prime factorization of 9614 and 9616. The biggest common factor number is the GCF number.
So the greatest common factor 9614 and 9616 is 2.

Also check out the Least Common Multiple of 9614 and 9616

Properties of GCF 9614 and 9616

(i) The GCF of 9614 and 9616 is associative

GCF of 9614 and 9616 = GCF of 9616 and 9614

Related Greatest Common Factor of 9614

Related Greatest Common Factor of 9616

Frequently Asked Questions on GCF of 9614 and 9616

1. What is the GCF of 9614 and 9616?

Answer: GCF of 9614 and 9616 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 9616?

Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.

4. How to Find the GCF of 9614 and 9616?

Answer:

Greatest Common Factor of 9614 and 9616 = 2

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9616

9616 = 2 x 2 x 2 x 2 x 601

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 9616 is 2