Greatest Common Factor of 9607 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 9607, 9614 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9607 and 9614 is 1.

GCF(9607,9614) = 1

GCF of 9607 and 9614

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

GCF of:
and

Greatest Common Factor of 9607 and 9614

GCF of 9607 and 9614 is 1

Prime Factorization of 9607


13 9607
739 739
1

Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:

9607 = 131×7391

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 9607 and 9614 is 1

Greatest Common Factor of 9607 and 9614 by matching factors method

Factors of 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1,13,739,9607

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 9607 and 9614. The biggest common factor number is the GCF number.
So the greatest common factor 9607 and 9614 is 1.

Also check out the Least Common Multiple of 9607 and 9614

Properties of GCF 9607 and 9614

(i) The GCF of 9607 and 9614 is associative

GCF of 9607 and 9614 = GCF of 9614 and 9607

Related Greatest Common Factor of 9607

Related Greatest Common Factor of 9614

Frequently Asked Questions on GCF of 9607 and 9614

1. What is the GCF of 9607 and 9614?

Answer: GCF of 9607 and 9614 is 1.

2. What are the Factors of 9607?

Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.

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 9607 and 9614?

Answer:

Greatest Common Factor of 9607 and 9614 = 1

Step 1: Find the prime factorization of 9607

9607 = 13 x 739

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 = = 1

Step 4: Therefore, the greatest common factor of 9607 and 9614 is 1