Greatest Common Factor of 9614 and 9617

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, 9617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9614 and 9617 is 1.

GCF(9614,9617) = 1

GCF of 9614 and 9617

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

GCF of:
and

Greatest Common Factor of 9614 and 9617

GCF of 9614 and 9617 is 1

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 9617


59 9617
163 163
1

Prime factors of 9617 are 59,163. Prime factorization of 9617 in exponential form is:

9617 = 591×1631

∴ So by taking common prime factors GCF of 9614 and 9617 is 1

Greatest Common Factor of 9614 and 9617 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 9617

List of positive integer factors of 9617 that divides 9617 without a remainder.

1,59,163,9617

Greatest Common Factor

We found the factors and prime factorization of 9614 and 9617. The biggest common factor number is the GCF number.
So the greatest common factor 9614 and 9617 is 1.

Also check out the Least Common Multiple of 9614 and 9617

Properties of GCF 9614 and 9617

(i) The GCF of 9614 and 9617 is associative

GCF of 9614 and 9617 = GCF of 9617 and 9614

Related Greatest Common Factor of 9614

Related Greatest Common Factor of 9617

Frequently Asked Questions on GCF of 9614 and 9617

1. What is the GCF of 9614 and 9617?

Answer: GCF of 9614 and 9617 is 1.

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 9617?

Answer: Factors of 9617 are 1, 59, 163, 9617. There are 4 integers that are factors of 9617. The greatest factor of 9617 is 9617.

4. How to Find the GCF of 9614 and 9617?

Answer:

Greatest Common Factor of 9614 and 9617 = 1

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9617

9617 = 59 x 163

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 9614 and 9617 is 1