Greatest Common Factor of 9624 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 9624, 9632 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9624 and 9632 is 8.

GCF(9624,9632) = 8

GCF of 9624 and 9632

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

GCF of:
and

Greatest Common Factor of 9624 and 9632

GCF of 9624 and 9632 is 8

Prime Factorization of 9624


2 9624
2 4812
2 2406
3 1203
401 401
1

Prime factors of 9624 are 2,3,401. Prime factorization of 9624 in exponential form is:

9624 = 23×31×4011

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 9624 and 9632 is 8

Greatest Common Factor of 9624 and 9632 by matching factors method

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

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 9624 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9624 and 9632 is 8.

Also check out the Least Common Multiple of 9624 and 9632

Properties of GCF 9624 and 9632

(i) The GCF of 9624 and 9632 is associative

GCF of 9624 and 9632 = GCF of 9632 and 9624

Related Greatest Common Factor of 9624

Related Greatest Common Factor of 9632

Frequently Asked Questions on GCF of 9624 and 9632

1. What is the GCF of 9624 and 9632?

Answer: GCF of 9624 and 9632 is 8.

2. What are the Factors of 9624?

Answer: Factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624. There are 16 integers that are factors of 9624. The greatest factor of 9624 is 9624.

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 9624 and 9632?

Answer:

Greatest Common Factor of 9624 and 9632 = 8

Step 1: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9624 and 9632 is 8