Greatest Common Factor of 3625 and 3629

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 3625, 3629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3625 and 3629 is 1.

GCF(3625,3629) = 1

GCF of 3625 and 3629

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

GCF of:
and

Greatest Common Factor of 3625 and 3629

GCF of 3625 and 3629 is 1

Prime Factorization of 3625


5 3625
5 725
5 145
29 29
1

Prime factors of 3625 are 5,29. Prime factorization of 3625 in exponential form is:

3625 = 53×291

Prime Factorization of 3629


19 3629
191 191
1

Prime factors of 3629 are 19,191. Prime factorization of 3629 in exponential form is:

3629 = 191×1911

∴ So by taking common prime factors GCF of 3625 and 3629 is 1

Greatest Common Factor of 3625 and 3629 by matching factors method

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Factors of 3629

List of positive integer factors of 3629 that divides 3629 without a remainder.

1,19,191,3629

Greatest Common Factor

We found the factors and prime factorization of 3625 and 3629. The biggest common factor number is the GCF number.
So the greatest common factor 3625 and 3629 is 1.

Also check out the Least Common Multiple of 3625 and 3629

Properties of GCF 3625 and 3629

(i) The GCF of 3625 and 3629 is associative

GCF of 3625 and 3629 = GCF of 3629 and 3625

Related Greatest Common Factor of 3625

Related Greatest Common Factor of 3629

Frequently Asked Questions on GCF of 3625 and 3629

1. What is the GCF of 3625 and 3629?

Answer: GCF of 3625 and 3629 is 1.

2. What are the Factors of 3625?

Answer: Factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625. There are 8 integers that are factors of 3625. The greatest factor of 3625 is 3625.

3. What are the Factors of 3629?

Answer: Factors of 3629 are 1, 19, 191, 3629. There are 4 integers that are factors of 3629. The greatest factor of 3629 is 3629.

4. How to Find the GCF of 3625 and 3629?

Answer:

Greatest Common Factor of 3625 and 3629 = 1

Step 1: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 3629

3629 = 19 x 191

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 3625 and 3629 is 1