Greatest Common Factor of 5622 and 5629

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 5622, 5629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5622 and 5629 is 1.

GCF(5622,5629) = 1

GCF of 5622 and 5629

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

GCF of:
and

Greatest Common Factor of 5622 and 5629

GCF of 5622 and 5629 is 1

Prime Factorization of 5622


2 5622
3 2811
937 937
1

Prime factors of 5622 are 2,3,937. Prime factorization of 5622 in exponential form is:

5622 = 21×31×9371

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

∴ So by taking common prime factors GCF of 5622 and 5629 is 1

Greatest Common Factor of 5622 and 5629 by matching factors method

Factors of 5622

List of positive integer factors of 5622 that divides 5622 without a remainder.

1,2,3,6,937,1874,2811,5622

Factors of 5629

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

1,13,433,5629

Greatest Common Factor

We found the factors and prime factorization of 5622 and 5629. The biggest common factor number is the GCF number.
So the greatest common factor 5622 and 5629 is 1.

Also check out the Least Common Multiple of 5622 and 5629

Properties of GCF 5622 and 5629

(i) The GCF of 5622 and 5629 is associative

GCF of 5622 and 5629 = GCF of 5629 and 5622

Related Greatest Common Factor of 5622

Related Greatest Common Factor of 5629

Frequently Asked Questions on GCF of 5622 and 5629

1. What is the GCF of 5622 and 5629?

Answer: GCF of 5622 and 5629 is 1.

2. What are the Factors of 5622?

Answer: Factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622. There are 8 integers that are factors of 5622. The greatest factor of 5622 is 5622.

3. 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.

4. How to Find the GCF of 5622 and 5629?

Answer:

Greatest Common Factor of 5622 and 5629 = 1

Step 1: Find the prime factorization of 5622

5622 = 2 x 3 x 937

Step 2: Find the prime factorization of 5629

5629 = 13 x 433

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 5622 and 5629 is 1