Greatest Common Factor of 9624 and 9628

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, 9628 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9624 and 9628 is 4.

GCF(9624,9628) = 4

GCF of 9624 and 9628

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

GCF of:
and

Greatest Common Factor of 9624 and 9628

GCF of 9624 and 9628 is 4

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 9628


2 9628
2 4814
29 2407
83 83
1

Prime factors of 9628 are 2,29,83. Prime factorization of 9628 in exponential form is:

9628 = 22×291×831

∴ So by taking common prime factors GCF of 9624 and 9628 is 4

Greatest Common Factor of 9624 and 9628 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 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors and prime factorization of 9624 and 9628. The biggest common factor number is the GCF number.
So the greatest common factor 9624 and 9628 is 4.

Also check out the Least Common Multiple of 9624 and 9628

Properties of GCF 9624 and 9628

(i) The GCF of 9624 and 9628 is associative

GCF of 9624 and 9628 = GCF of 9628 and 9624

Related Greatest Common Factor of 9624

Related Greatest Common Factor of 9628

Frequently Asked Questions on GCF of 9624 and 9628

1. What is the GCF of 9624 and 9628?

Answer: GCF of 9624 and 9628 is 4.

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 9628?

Answer: Factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628. There are 12 integers that are factors of 9628. The greatest factor of 9628 is 9628.

4. How to Find the GCF of 9624 and 9628?

Answer:

Greatest Common Factor of 9624 and 9628 = 4

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 9628

9628 = 2 x 2 x 29 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9624 and 9628 is 4