Greatest Common Factor of 5629 and 5633

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, 5633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5629 and 5633 is 1.

GCF(5629,5633) = 1

GCF of 5629 and 5633

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

GCF of:
and

Greatest Common Factor of 5629 and 5633

GCF of 5629 and 5633 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 5633


43 5633
131 131
1

Prime factors of 5633 are 43,131. Prime factorization of 5633 in exponential form is:

5633 = 431×1311

∴ So by taking common prime factors GCF of 5629 and 5633 is 1

Greatest Common Factor of 5629 and 5633 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 5633

List of positive integer factors of 5633 that divides 5633 without a remainder.

1,43,131,5633

Greatest Common Factor

We found the factors and prime factorization of 5629 and 5633. The biggest common factor number is the GCF number.
So the greatest common factor 5629 and 5633 is 1.

Also check out the Least Common Multiple of 5629 and 5633

Properties of GCF 5629 and 5633

(i) The GCF of 5629 and 5633 is associative

GCF of 5629 and 5633 = GCF of 5633 and 5629

Related Greatest Common Factor of 5629

Related Greatest Common Factor of 5633

Frequently Asked Questions on GCF of 5629 and 5633

1. What is the GCF of 5629 and 5633?

Answer: GCF of 5629 and 5633 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 5633?

Answer: Factors of 5633 are 1, 43, 131, 5633. There are 4 integers that are factors of 5633. The greatest factor of 5633 is 5633.

4. How to Find the GCF of 5629 and 5633?

Answer:

Greatest Common Factor of 5629 and 5633 = 1

Step 1: Find the prime factorization of 5629

5629 = 13 x 433

Step 2: Find the prime factorization of 5633

5633 = 43 x 131

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 5633 is 1