Greatest Common Factor of 9614 and 9620

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, 9620 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9614 and 9620 is 2.

GCF(9614,9620) = 2

GCF of 9614 and 9620

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

GCF of:
and

Greatest Common Factor of 9614 and 9620

GCF of 9614 and 9620 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 9620


2 9620
2 4810
5 2405
13 481
37 37
1

Prime factors of 9620 are 2,5,13,37. Prime factorization of 9620 in exponential form is:

9620 = 22×51×131×371

∴ So by taking common prime factors GCF of 9614 and 9620 is 2

Greatest Common Factor of 9614 and 9620 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 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Greatest Common Factor

We found the factors and prime factorization of 9614 and 9620. The biggest common factor number is the GCF number.
So the greatest common factor 9614 and 9620 is 2.

Also check out the Least Common Multiple of 9614 and 9620

Properties of GCF 9614 and 9620

(i) The GCF of 9614 and 9620 is associative

GCF of 9614 and 9620 = GCF of 9620 and 9614

Related Greatest Common Factor of 9614

Related Greatest Common Factor of 9620

Frequently Asked Questions on GCF of 9614 and 9620

1. What is the GCF of 9614 and 9620?

Answer: GCF of 9614 and 9620 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 9620?

Answer: Factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620. There are 24 integers that are factors of 9620. The greatest factor of 9620 is 9620.

4. How to Find the GCF of 9614 and 9620?

Answer:

Greatest Common Factor of 9614 and 9620 = 2

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9620

9620 = 2 x 2 x 5 x 13 x 37

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 9620 is 2