Greatest Common Factor of 5642 and 5649

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 5642, 5649 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5642 and 5649 is 7.

GCF(5642,5649) = 7

GCF of 5642 and 5649

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

GCF of:
and

Greatest Common Factor of 5642 and 5649

GCF of 5642 and 5649 is 7

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

Prime Factorization of 5649


3 5649
7 1883
269 269
1

Prime factors of 5649 are 3,7,269. Prime factorization of 5649 in exponential form is:

5649 = 31×71×2691

∴ So by taking common prime factors GCF of 5642 and 5649 is 7

Greatest Common Factor of 5642 and 5649 by matching factors method

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

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

Greatest Common Factor

We found the factors and prime factorization of 5642 and 5649. The biggest common factor number is the GCF number.
So the greatest common factor 5642 and 5649 is 7.

Also check out the Least Common Multiple of 5642 and 5649

Properties of GCF 5642 and 5649

(i) The GCF of 5642 and 5649 is associative

GCF of 5642 and 5649 = GCF of 5649 and 5642

Related Greatest Common Factor of 5642

Related Greatest Common Factor of 5649

Frequently Asked Questions on GCF of 5642 and 5649

1. What is the GCF of 5642 and 5649?

Answer: GCF of 5642 and 5649 is 7.

2. 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.

3. What are the Factors of 5649?

Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.

4. How to Find the GCF of 5642 and 5649?

Answer:

Greatest Common Factor of 5642 and 5649 = 7

Step 1: Find the prime factorization of 5642

5642 = 2 x 7 x 13 x 31

Step 2: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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 5642 and 5649 is 7