Greatest Common Factor of 9616 and 9624

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 9616, 9624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9616 and 9624 is 8.

GCF(9616,9624) = 8

GCF of 9616 and 9624

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

GCF of:
and

Greatest Common Factor of 9616 and 9624

GCF of 9616 and 9624 is 8

Prime Factorization of 9616


2 9616
2 4808
2 2404
2 1202
601 601
1

Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:

9616 = 24×6011

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

∴ So by taking common prime factors GCF of 9616 and 9624 is 8

Greatest Common Factor of 9616 and 9624 by matching factors method

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

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

Greatest Common Factor

We found the factors and prime factorization of 9616 and 9624. The biggest common factor number is the GCF number.
So the greatest common factor 9616 and 9624 is 8.

Also check out the Least Common Multiple of 9616 and 9624

Properties of GCF 9616 and 9624

(i) The GCF of 9616 and 9624 is associative

GCF of 9616 and 9624 = GCF of 9624 and 9616

Related Greatest Common Factor of 9616

Related Greatest Common Factor of 9624

Frequently Asked Questions on GCF of 9616 and 9624

1. What is the GCF of 9616 and 9624?

Answer: GCF of 9616 and 9624 is 8.

2. What are the Factors of 9616?

Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.

3. 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.

4. How to Find the GCF of 9616 and 9624?

Answer:

Greatest Common Factor of 9616 and 9624 = 8

Step 1: Find the prime factorization of 9616

9616 = 2 x 2 x 2 x 2 x 601

Step 2: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

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 9616 and 9624 is 8