Greatest Common Factor of 9635 and 9636

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 9635, 9636 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9635 and 9636 is 1.

GCF(9635,9636) = 1

GCF of 9635 and 9636

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

GCF of:
and

Greatest Common Factor of 9635 and 9636

GCF of 9635 and 9636 is 1

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5,41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

Prime Factorization of 9636


2 9636
2 4818
3 2409
11 803
73 73
1

Prime factors of 9636 are 2,3,11,73. Prime factorization of 9636 in exponential form is:

9636 = 22×31×111×731

∴ So by taking common prime factors GCF of 9635 and 9636 is 1

Greatest Common Factor of 9635 and 9636 by matching factors method

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636

Greatest Common Factor

We found the factors and prime factorization of 9635 and 9636. The biggest common factor number is the GCF number.
So the greatest common factor 9635 and 9636 is 1.

Also check out the Least Common Multiple of 9635 and 9636

Properties of GCF 9635 and 9636

(i) The GCF of 9635 and 9636 is associative

GCF of 9635 and 9636 = GCF of 9636 and 9635

Related Greatest Common Factor of 9635

Related Greatest Common Factor of 9636

Frequently Asked Questions on GCF of 9635 and 9636

1. What is the GCF of 9635 and 9636?

Answer: GCF of 9635 and 9636 is 1.

2. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

3. What are the Factors of 9636?

Answer: Factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636. There are 24 integers that are factors of 9636. The greatest factor of 9636 is 9636.

4. How to Find the GCF of 9635 and 9636?

Answer:

Greatest Common Factor of 9635 and 9636 = 1

Step 1: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 2: Find the prime factorization of 9636

9636 = 2 x 2 x 3 x 11 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9635 and 9636 is 1