Greatest Common Factor of 9637 and 9642

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 9637, 9642 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9637 and 9642 is 1.

GCF(9637,9642) = 1

GCF of 9637 and 9642

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

GCF of:
and

Greatest Common Factor of 9637 and 9642

GCF of 9637 and 9642 is 1

Prime Factorization of 9637


23 9637
419 419
1

Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:

9637 = 231×4191

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

∴ So by taking common prime factors GCF of 9637 and 9642 is 1

Greatest Common Factor of 9637 and 9642 by matching factors method

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1,23,419,9637

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors and prime factorization of 9637 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9637 and 9642 is 1.

Also check out the Least Common Multiple of 9637 and 9642

Properties of GCF 9637 and 9642

(i) The GCF of 9637 and 9642 is associative

GCF of 9637 and 9642 = GCF of 9642 and 9637

Related Greatest Common Factor of 9637

Related Greatest Common Factor of 9642

Frequently Asked Questions on GCF of 9637 and 9642

1. What is the GCF of 9637 and 9642?

Answer: GCF of 9637 and 9642 is 1.

2. What are the Factors of 9637?

Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.

3. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

4. How to Find the GCF of 9637 and 9642?

Answer:

Greatest Common Factor of 9637 and 9642 = 1

Step 1: Find the prime factorization of 9637

9637 = 23 x 419

Step 2: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

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 9637 and 9642 is 1