Greatest Common Factor of 5635 and 5642

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 5635, 5642 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5635 and 5642 is 7.

GCF(5635,5642) = 7

GCF of 5635 and 5642

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

GCF of:
and

Greatest Common Factor of 5635 and 5642

GCF of 5635 and 5642 is 7

Prime Factorization of 5635


5 5635
7 1127
7 161
23 23
1

Prime factors of 5635 are 5,7,23. Prime factorization of 5635 in exponential form is:

5635 = 51×72×231

Prime Factorization of 5642


2 5642
7 2821
13 403
31 31
1

Prime factors of 5642 are 2,7,13,31. Prime factorization of 5642 in exponential form is:

5642 = 21×71×131×311

∴ So by taking common prime factors GCF of 5635 and 5642 is 7

Greatest Common Factor of 5635 and 5642 by matching factors method

Factors of 5635

List of positive integer factors of 5635 that divides 5635 without a remainder.

1,5,7,23,35,49,115,161,245,805,1127,5635

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors and prime factorization of 5635 and 5642. The biggest common factor number is the GCF number.
So the greatest common factor 5635 and 5642 is 7.

Also check out the Least Common Multiple of 5635 and 5642

Properties of GCF 5635 and 5642

(i) The GCF of 5635 and 5642 is associative

GCF of 5635 and 5642 = GCF of 5642 and 5635

Related Greatest Common Factor of 5635

Related Greatest Common Factor of 5642

Frequently Asked Questions on GCF of 5635 and 5642

1. What is the GCF of 5635 and 5642?

Answer: GCF of 5635 and 5642 is 7.

2. What are the Factors of 5635?

Answer: Factors of 5635 are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635. There are 12 integers that are factors of 5635. The greatest factor of 5635 is 5635.

3. What are the Factors of 5642?

Answer: Factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642. There are 16 integers that are factors of 5642. The greatest factor of 5642 is 5642.

4. How to Find the GCF of 5635 and 5642?

Answer:

Greatest Common Factor of 5635 and 5642 = 7

Step 1: Find the prime factorization of 5635

5635 = 5 x 7 x 7 x 23

Step 2: Find the prime factorization of 5642

5642 = 2 x 7 x 13 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5635 and 5642 is 7