Greatest Common Factor of 9617 and 9625

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 9617, 9625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9617 and 9625 is 1.

GCF(9617,9625) = 1

GCF of 9617 and 9625

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

GCF of:
and

Greatest Common Factor of 9617 and 9625

GCF of 9617 and 9625 is 1

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

Prime Factorization of 9625


5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 9625 are 5,7,11. Prime factorization of 9625 in exponential form is:

9625 = 53×71×111

∴ So by taking common prime factors GCF of 9617 and 9625 is 1

Greatest Common Factor of 9617 and 9625 by matching factors method

Factors of 9617

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

1,59,163,9617

Factors of 9625

List of positive integer factors of 9625 that divides 9625 without a remainder.

1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625

Greatest Common Factor

We found the factors and prime factorization of 9617 and 9625. The biggest common factor number is the GCF number.
So the greatest common factor 9617 and 9625 is 1.

Also check out the Least Common Multiple of 9617 and 9625

Properties of GCF 9617 and 9625

(i) The GCF of 9617 and 9625 is associative

GCF of 9617 and 9625 = GCF of 9625 and 9617

Related Greatest Common Factor of 9617

Related Greatest Common Factor of 9625

Frequently Asked Questions on GCF of 9617 and 9625

1. What is the GCF of 9617 and 9625?

Answer: GCF of 9617 and 9625 is 1.

2. 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.

3. What are the Factors of 9625?

Answer: Factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625. There are 16 integers that are factors of 9625. The greatest factor of 9625 is 9625.

4. How to Find the GCF of 9617 and 9625?

Answer:

Greatest Common Factor of 9617 and 9625 = 1

Step 1: Find the prime factorization of 9617

9617 = 59 x 163

Step 2: Find the prime factorization of 9625

9625 = 5 x 5 x 5 x 7 x 11

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 9617 and 9625 is 1