Greatest Common Factor of 9632 and 9639

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 9632, 9639 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9632 and 9639 is 7.

GCF(9632,9639) = 7

GCF of 9632 and 9639

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

GCF of:
and

Greatest Common Factor of 9632 and 9639

GCF of 9632 and 9639 is 7

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

Prime Factorization of 9639


3 9639
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 9639 are 3,7,17. Prime factorization of 9639 in exponential form is:

9639 = 34×71×171

∴ So by taking common prime factors GCF of 9632 and 9639 is 7

Greatest Common Factor of 9632 and 9639 by matching factors method

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

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639

Greatest Common Factor

We found the factors and prime factorization of 9632 and 9639. The biggest common factor number is the GCF number.
So the greatest common factor 9632 and 9639 is 7.

Also check out the Least Common Multiple of 9632 and 9639

Properties of GCF 9632 and 9639

(i) The GCF of 9632 and 9639 is associative

GCF of 9632 and 9639 = GCF of 9639 and 9632

Related Greatest Common Factor of 9632

Related Greatest Common Factor of 9639

Frequently Asked Questions on GCF of 9632 and 9639

1. What is the GCF of 9632 and 9639?

Answer: GCF of 9632 and 9639 is 7.

2. 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.

3. What are the Factors of 9639?

Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.

4. How to Find the GCF of 9632 and 9639?

Answer:

Greatest Common Factor of 9632 and 9639 = 7

Step 1: Find the prime factorization of 9632

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

Step 2: Find the prime factorization of 9639

9639 = 3 x 3 x 3 x 3 x 7 x 17

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 9632 and 9639 is 7