Greatest Common Factor of 9620 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 9620, 9628 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9620 and 9628 is 4.

GCF(9620,9628) = 4

GCF of 9620 and 9628

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

GCF of:
and

Greatest Common Factor of 9620 and 9628

GCF of 9620 and 9628 is 4

Prime Factorization of 9620


2 9620
2 4810
5 2405
13 481
37 37
1

Prime factors of 9620 are 2,5,13,37. Prime factorization of 9620 in exponential form is:

9620 = 22×51×131×371

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 9620 and 9628 is 4

Greatest Common Factor of 9620 and 9628 by matching factors method

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

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 9620 and 9628. The biggest common factor number is the GCF number.
So the greatest common factor 9620 and 9628 is 4.

Also check out the Least Common Multiple of 9620 and 9628

Properties of GCF 9620 and 9628

(i) The GCF of 9620 and 9628 is associative

GCF of 9620 and 9628 = GCF of 9628 and 9620

Related Greatest Common Factor of 9620

Related Greatest Common Factor of 9628

Frequently Asked Questions on GCF of 9620 and 9628

1. What is the GCF of 9620 and 9628?

Answer: GCF of 9620 and 9628 is 4.

2. What are the Factors of 9620?

Answer: Factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620. There are 24 integers that are factors of 9620. The greatest factor of 9620 is 9620.

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 9620 and 9628?

Answer:

Greatest Common Factor of 9620 and 9628 = 4

Step 1: Find the prime factorization of 9620

9620 = 2 x 2 x 5 x 13 x 37

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 9620 and 9628 is 4