Greatest Common Factor of 9788 and 9796

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 9788, 9796 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9788 and 9796 is 4.

GCF(9788,9796) = 4

GCF of 9788 and 9796

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

GCF of:
and

Greatest Common Factor of 9788 and 9796

GCF of 9788 and 9796 is 4

Prime Factorization of 9788


2 9788
2 4894
2447 2447
1

Prime factors of 9788 are 2,2447. Prime factorization of 9788 in exponential form is:

9788 = 22×24471

Prime Factorization of 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2,31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

∴ So by taking common prime factors GCF of 9788 and 9796 is 4

Greatest Common Factor of 9788 and 9796 by matching factors method

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Factors of 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1,2,4,31,62,79,124,158,316,2449,4898,9796

Greatest Common Factor

We found the factors and prime factorization of 9788 and 9796. The biggest common factor number is the GCF number.
So the greatest common factor 9788 and 9796 is 4.

Also check out the Least Common Multiple of 9788 and 9796

Properties of GCF 9788 and 9796

(i) The GCF of 9788 and 9796 is associative

GCF of 9788 and 9796 = GCF of 9796 and 9788

Related Greatest Common Factor of 9788

Related Greatest Common Factor of 9796

Frequently Asked Questions on GCF of 9788 and 9796

1. What is the GCF of 9788 and 9796?

Answer: GCF of 9788 and 9796 is 4.

2. What are the Factors of 9788?

Answer: Factors of 9788 are 1, 2, 4, 2447, 4894, 9788. There are 6 integers that are factors of 9788. The greatest factor of 9788 is 9788.

3. What are the Factors of 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

4. How to Find the GCF of 9788 and 9796?

Answer:

Greatest Common Factor of 9788 and 9796 = 4

Step 1: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

Step 2: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

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 9788 and 9796 is 4