Greatest Common Factor of 5629 and 5635

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, 5635 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5629 and 5635 is 1.

GCF(5629,5635) = 1

GCF of 5629 and 5635

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

GCF of:
and

Greatest Common Factor of 5629 and 5635

GCF of 5629 and 5635 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 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

∴ So by taking common prime factors GCF of 5629 and 5635 is 1

Greatest Common Factor of 5629 and 5635 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 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

Greatest Common Factor

We found the factors and prime factorization of 5629 and 5635. The biggest common factor number is the GCF number.
So the greatest common factor 5629 and 5635 is 1.

Also check out the Least Common Multiple of 5629 and 5635

Properties of GCF 5629 and 5635

(i) The GCF of 5629 and 5635 is associative

GCF of 5629 and 5635 = GCF of 5635 and 5629

Related Greatest Common Factor of 5629

Related Greatest Common Factor of 5635

Frequently Asked Questions on GCF of 5629 and 5635

1. What is the GCF of 5629 and 5635?

Answer: GCF of 5629 and 5635 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 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.

4. How to Find the GCF of 5629 and 5635?

Answer:

Greatest Common Factor of 5629 and 5635 = 1

Step 1: Find the prime factorization of 5629

5629 = 13 x 433

Step 2: Find the prime factorization of 5635

5635 = 5 x 7 x 7 x 23

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 5635 is 1