Greatest Common Factor of 9618 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 9618, 9625 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9618 and 9625 is 7.

GCF(9618,9625) = 7

GCF of 9618 and 9625

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

GCF of:
and

Greatest Common Factor of 9618 and 9625

GCF of 9618 and 9625 is 7

Prime Factorization of 9618


2 9618
3 4809
7 1603
229 229
1

Prime factors of 9618 are 2,3,7,229. Prime factorization of 9618 in exponential form is:

9618 = 21×31×71×2291

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 9618 and 9625 is 7

Greatest Common Factor of 9618 and 9625 by matching factors method

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

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 9618 and 9625. The biggest common factor number is the GCF number.
So the greatest common factor 9618 and 9625 is 7.

Also check out the Least Common Multiple of 9618 and 9625

Properties of GCF 9618 and 9625

(i) The GCF of 9618 and 9625 is associative

GCF of 9618 and 9625 = GCF of 9625 and 9618

Related Greatest Common Factor of 9618

Related Greatest Common Factor of 9625

Frequently Asked Questions on GCF of 9618 and 9625

1. What is the GCF of 9618 and 9625?

Answer: GCF of 9618 and 9625 is 7.

2. What are the Factors of 9618?

Answer: Factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618. There are 16 integers that are factors of 9618. The greatest factor of 9618 is 9618.

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 9618 and 9625?

Answer:

Greatest Common Factor of 9618 and 9625 = 7

Step 1: Find the prime factorization of 9618

9618 = 2 x 3 x 7 x 229

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 = 7

Step 4: Therefore, the greatest common factor of 9618 and 9625 is 7