Greatest Common Factor of 3617 and 3625

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 3617, 3625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3617 and 3625 is 1.

GCF(3617,3625) = 1

GCF of 3617 and 3625

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

GCF of:
and

Greatest Common Factor of 3617 and 3625

GCF of 3617 and 3625 is 1

Prime Factorization of 3617


3617 3617
1

Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:

3617 = 36171

Prime Factorization of 3625


5 3625
5 725
5 145
29 29
1

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

3625 = 53×291

∴ So by taking common prime factors GCF of 3617 and 3625 is 1

Greatest Common Factor of 3617 and 3625 by matching factors method

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1,3617

Factors of 3625

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

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

Greatest Common Factor

We found the factors and prime factorization of 3617 and 3625. The biggest common factor number is the GCF number.
So the greatest common factor 3617 and 3625 is 1.

Also check out the Least Common Multiple of 3617 and 3625

Properties of GCF 3617 and 3625

(i) The GCF of 3617 and 3625 is associative

GCF of 3617 and 3625 = GCF of 3625 and 3617

Related Greatest Common Factor of 3617

Related Greatest Common Factor of 3625

Frequently Asked Questions on GCF of 3617 and 3625

1. What is the GCF of 3617 and 3625?

Answer: GCF of 3617 and 3625 is 1.

2. What are the Factors of 3617?

Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.

3. 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.

4. How to Find the GCF of 3617 and 3625?

Answer:

Greatest Common Factor of 3617 and 3625 = 1

Step 1: Find the prime factorization of 3617

3617 = 3617

Step 2: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

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 3617 and 3625 is 1