Greatest Common Factor of 9625 and 9632

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 9625, 9632 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9625 and 9632 is 7.

GCF(9625,9632) = 7

GCF of 9625 and 9632

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

GCF of:
and

Greatest Common Factor of 9625 and 9632

GCF of 9625 and 9632 is 7

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

Prime Factorization of 9632


2 9632
2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 9632 are 2,7,43. Prime factorization of 9632 in exponential form is:

9632 = 25×71×431

∴ So by taking common prime factors GCF of 9625 and 9632 is 7

Greatest Common Factor of 9625 and 9632 by matching factors method

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

Factors of 9632

List of positive integer factors of 9632 that divides 9632 without a remainder.

1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632

Greatest Common Factor

We found the factors and prime factorization of 9625 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9632 is 7.

Also check out the Least Common Multiple of 9625 and 9632

Properties of GCF 9625 and 9632

(i) The GCF of 9625 and 9632 is associative

GCF of 9625 and 9632 = GCF of 9632 and 9625

Related Greatest Common Factor of 9625

Related Greatest Common Factor of 9632

Frequently Asked Questions on GCF of 9625 and 9632

1. What is the GCF of 9625 and 9632?

Answer: GCF of 9625 and 9632 is 7.

2. 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.

3. What are the Factors of 9632?

Answer: Factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632. There are 24 integers that are factors of 9632. The greatest factor of 9632 is 9632.

4. How to Find the GCF of 9625 and 9632?

Answer:

Greatest Common Factor of 9625 and 9632 = 7

Step 1: Find the prime factorization of 9625

9625 = 5 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 9632

9632 = 2 x 2 x 2 x 2 x 2 x 7 x 43

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 9625 and 9632 is 7