Greatest Common Factor of 5629 and 5636

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 5629, 5636 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5629 and 5636 is 1.

GCF(5629,5636) = 1

GCF of 5629 and 5636

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

GCF of:
and

Greatest Common Factor of 5629 and 5636

GCF of 5629 and 5636 is 1

Prime Factorization of 5629


13 5629
433 433
1

Prime factors of 5629 are 13,433. Prime factorization of 5629 in exponential form is:

5629 = 131×4331

Prime Factorization of 5636


2 5636
2 2818
1409 1409
1

Prime factors of 5636 are 2,1409. Prime factorization of 5636 in exponential form is:

5636 = 22×14091

∴ So by taking common prime factors GCF of 5629 and 5636 is 1

Greatest Common Factor of 5629 and 5636 by matching factors method

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1,13,433,5629

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors and prime factorization of 5629 and 5636. The biggest common factor number is the GCF number.
So the greatest common factor 5629 and 5636 is 1.

Also check out the Least Common Multiple of 5629 and 5636

Properties of GCF 5629 and 5636

(i) The GCF of 5629 and 5636 is associative

GCF of 5629 and 5636 = GCF of 5636 and 5629

Related Greatest Common Factor of 5629

Related Greatest Common Factor of 5636

Frequently Asked Questions on GCF of 5629 and 5636

1. What is the GCF of 5629 and 5636?

Answer: GCF of 5629 and 5636 is 1.

2. What are the Factors of 5629?

Answer: Factors of 5629 are 1, 13, 433, 5629. There are 4 integers that are factors of 5629. The greatest factor of 5629 is 5629.

3. What are the Factors of 5636?

Answer: Factors of 5636 are 1, 2, 4, 1409, 2818, 5636. There are 6 integers that are factors of 5636. The greatest factor of 5636 is 5636.

4. How to Find the GCF of 5629 and 5636?

Answer:

Greatest Common Factor of 5629 and 5636 = 1

Step 1: Find the prime factorization of 5629

5629 = 13 x 433

Step 2: Find the prime factorization of 5636

5636 = 2 x 2 x 1409

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 5629 and 5636 is 1